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Finding the Third Proportional to 27,641 and 60,817

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Solution

The third proportional to 27,641 and 60,817 is: 133,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641 : 60,817 = 60,817 : x
  2. Step 2: Convert to fraction form
    27,641/60,817 = 60,817/x
  3. Step 3: Cross multiply
    27,641x = 60,817 × 60,817
  4. Step 4: Simplify right side
    27,641x = 3,698,707,489
  5. Step 5: Solve for x
    x = 3,698,707,489/27,641
  6. Step 6: Final answer
    x = 133,812.36

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Why These Related Problems?

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