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Finding the Third Proportional to 39,981 and 59,755.50

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Solution

The third proportional to 39,981 and 59,755.50 is: 89,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,981 : 59,755.50 = 59,755.50 : x
  2. Step 2: Convert to fraction form
    39,981/59,755.50 = 59,755.50/x
  3. Step 3: Cross multiply
    39,981x = 59,755.50 × 59,755.50
  4. Step 4: Simplify right side
    39,981x = 3,570,719,780.25
  5. Step 5: Solve for x
    x = 3,570,719,780.25/39,981
  6. Step 6: Final answer
    x = 89,310.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.