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Finding the Third Proportional to 15,150 and 23,255.25

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Solution

The third proportional to 15,150 and 23,255.25 is: 35,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,150 : 23,255.25 = 23,255.25 : x
  2. Step 2: Convert to fraction form
    15,150/23,255.25 = 23,255.25/x
  3. Step 3: Cross multiply
    15,150x = 23,255.25 × 23,255.25
  4. Step 4: Simplify right side
    15,150x = 540,806,652.56
  5. Step 5: Solve for x
    x = 540,806,652.56/15,150
  6. Step 6: Final answer
    x = 35,696.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.