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Finding the Third Proportional to 27,658 and 59,418

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Solution

The third proportional to 27,658 and 59,418 is: 127,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658 : 59,418 = 59,418 : x
  2. Step 2: Convert to fraction form
    27,658/59,418 = 59,418/x
  3. Step 3: Cross multiply
    27,658x = 59,418 × 59,418
  4. Step 4: Simplify right side
    27,658x = 3,530,498,724
  5. Step 5: Solve for x
    x = 3,530,498,724/27,658
  6. Step 6: Final answer
    x = 127,648.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.