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Finding the Third Proportional to 27,637 and 59,217

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Solution

The third proportional to 27,637 and 59,217 is: 126,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,637 : 59,217 = 59,217 : x
  2. Step 2: Convert to fraction form
    27,637/59,217 = 59,217/x
  3. Step 3: Cross multiply
    27,637x = 59,217 × 59,217
  4. Step 4: Simplify right side
    27,637x = 3,506,653,089
  5. Step 5: Solve for x
    x = 3,506,653,089/27,637
  6. Step 6: Final answer
    x = 126,882.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.