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Finding the Third Proportional to 24,532.75 and 38,909.75

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Solution

The third proportional to 24,532.75 and 38,909.75 is: 61,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.75 : 38,909.75 = 38,909.75 : x
  2. Step 2: Convert to fraction form
    24,532.75/38,909.75 = 38,909.75/x
  3. Step 3: Cross multiply
    24,532.75x = 38,909.75 × 38,909.75
  4. Step 4: Simplify right side
    24,532.75x = 1,513,968,645.06
  5. Step 5: Solve for x
    x = 1,513,968,645.06/24,532.75
  6. Step 6: Final answer
    x = 61,712.15

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.