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Finding the Third Proportional to 27,052 and 58,424

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Solution

The third proportional to 27,052 and 58,424 is: 126,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,052 : 58,424 = 58,424 : x
  2. Step 2: Convert to fraction form
    27,052/58,424 = 58,424/x
  3. Step 3: Cross multiply
    27,052x = 58,424 × 58,424
  4. Step 4: Simplify right side
    27,052x = 3,413,363,776
  5. Step 5: Solve for x
    x = 3,413,363,776/27,052
  6. Step 6: Final answer
    x = 126,177.87

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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.