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Finding the Third Proportional to 41,780 and 62,751

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Solution

The third proportional to 41,780 and 62,751 is: 94,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,780 : 62,751 = 62,751 : x
  2. Step 2: Convert to fraction form
    41,780/62,751 = 62,751/x
  3. Step 3: Cross multiply
    41,780x = 62,751 × 62,751
  4. Step 4: Simplify right side
    41,780x = 3,937,688,001
  5. Step 5: Solve for x
    x = 3,937,688,001/41,780
  6. Step 6: Final answer
    x = 94,248.16

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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.