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Finding the Third Proportional to 15,564.50 and 24,140.25

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Solution

The third proportional to 15,564.50 and 24,140.25 is: 37,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,564.50 : 24,140.25 = 24,140.25 : x
  2. Step 2: Convert to fraction form
    15,564.50/24,140.25 = 24,140.25/x
  3. Step 3: Cross multiply
    15,564.50x = 24,140.25 × 24,140.25
  4. Step 4: Simplify right side
    15,564.50x = 582,751,670.06
  5. Step 5: Solve for x
    x = 582,751,670.06/15,564.50
  6. Step 6: Final answer
    x = 37,441.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.