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Finding the Third Proportional to 27,584 and 59,542

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Solution

The third proportional to 27,584 and 59,542 is: 128,525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584 : 59,542 = 59,542 : x
  2. Step 2: Convert to fraction form
    27,584/59,542 = 59,542/x
  3. Step 3: Cross multiply
    27,584x = 59,542 × 59,542
  4. Step 4: Simplify right side
    27,584x = 3,545,249,764
  5. Step 5: Solve for x
    x = 3,545,249,764/27,584
  6. Step 6: Final answer
    x = 128,525.59

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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.