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Finding the Third Proportional to 40,061 and 59,947

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Solution

The third proportional to 40,061 and 59,947 is: 89,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,061 : 59,947 = 59,947 : x
  2. Step 2: Convert to fraction form
    40,061/59,947 = 59,947/x
  3. Step 3: Cross multiply
    40,061x = 59,947 × 59,947
  4. Step 4: Simplify right side
    40,061x = 3,593,642,809
  5. Step 5: Solve for x
    x = 3,593,642,809/40,061
  6. Step 6: Final answer
    x = 89,704.27

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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.