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Finding the Third Proportional to 27,854 and 60,892

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Solution

The third proportional to 27,854 and 60,892 is: 133,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854 : 60,892 = 60,892 : x
  2. Step 2: Convert to fraction form
    27,854/60,892 = 60,892/x
  3. Step 3: Cross multiply
    27,854x = 60,892 × 60,892
  4. Step 4: Simplify right side
    27,854x = 3,707,835,664
  5. Step 5: Solve for x
    x = 3,707,835,664/27,854
  6. Step 6: Final answer
    x = 133,116.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.