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Finding the Third Proportional to 41,730 and 62,571

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Solution

The third proportional to 41,730 and 62,571 is: 93,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,730 : 62,571 = 62,571 : x
  2. Step 2: Convert to fraction form
    41,730/62,571 = 62,571/x
  3. Step 3: Cross multiply
    41,730x = 62,571 × 62,571
  4. Step 4: Simplify right side
    41,730x = 3,915,130,041
  5. Step 5: Solve for x
    x = 3,915,130,041/41,730
  6. Step 6: Final answer
    x = 93,820.51

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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.