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Finding the Third Proportional to 27,638 and 58,559

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Solution

The third proportional to 27,638 and 58,559 is: 124,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638 : 58,559 = 58,559 : x
  2. Step 2: Convert to fraction form
    27,638/58,559 = 58,559/x
  3. Step 3: Cross multiply
    27,638x = 58,559 × 58,559
  4. Step 4: Simplify right side
    27,638x = 3,429,156,481
  5. Step 5: Solve for x
    x = 3,429,156,481/27,638
  6. Step 6: Final answer
    x = 124,073.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.