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Finding the Third Proportional to 27,725 and 59,419

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Solution

The third proportional to 27,725 and 59,419 is: 127,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725 : 59,419 = 59,419 : x
  2. Step 2: Convert to fraction form
    27,725/59,419 = 59,419/x
  3. Step 3: Cross multiply
    27,725x = 59,419 × 59,419
  4. Step 4: Simplify right side
    27,725x = 3,530,617,561
  5. Step 5: Solve for x
    x = 3,530,617,561/27,725
  6. Step 6: Final answer
    x = 127,344.19

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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.