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Finding the Third Proportional to 27,665 and 60,730

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Solution

The third proportional to 27,665 and 60,730 is: 133,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665 : 60,730 = 60,730 : x
  2. Step 2: Convert to fraction form
    27,665/60,730 = 60,730/x
  3. Step 3: Cross multiply
    27,665x = 60,730 × 60,730
  4. Step 4: Simplify right side
    27,665x = 3,688,132,900
  5. Step 5: Solve for x
    x = 3,688,132,900/27,665
  6. Step 6: Final answer
    x = 133,314.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.