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Finding the Third Proportional to 41,766 and 62,730

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Solution

The third proportional to 41,766 and 62,730 is: 94,216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,766 : 62,730 = 62,730 : x
  2. Step 2: Convert to fraction form
    41,766/62,730 = 62,730/x
  3. Step 3: Cross multiply
    41,766x = 62,730 × 62,730
  4. Step 4: Simplify right side
    41,766x = 3,935,052,900
  5. Step 5: Solve for x
    x = 3,935,052,900/41,766
  6. Step 6: Final answer
    x = 94,216.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.