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Finding the Third Proportional to 15,591 and 23,386.50

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Solution

The third proportional to 15,591 and 23,386.50 is: 35,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,591 : 23,386.50 = 23,386.50 : x
  2. Step 2: Convert to fraction form
    15,591/23,386.50 = 23,386.50/x
  3. Step 3: Cross multiply
    15,591x = 23,386.50 × 23,386.50
  4. Step 4: Simplify right side
    15,591x = 546,928,382.25
  5. Step 5: Solve for x
    x = 546,928,382.25/15,591
  6. Step 6: Final answer
    x = 35,079.75

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.