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Finding the Third Proportional to 27,412 and 59,092

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Solution

The third proportional to 27,412 and 59,092 is: 127,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412 : 59,092 = 59,092 : x
  2. Step 2: Convert to fraction form
    27,412/59,092 = 59,092/x
  3. Step 3: Cross multiply
    27,412x = 59,092 × 59,092
  4. Step 4: Simplify right side
    27,412x = 3,491,864,464
  5. Step 5: Solve for x
    x = 3,491,864,464/27,412
  6. Step 6: Final answer
    x = 127,384.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.