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Finding the Third Proportional to 27,609 and 59,591

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Solution

The third proportional to 27,609 and 59,591 is: 128,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,609 : 59,591 = 59,591 : x
  2. Step 2: Convert to fraction form
    27,609/59,591 = 59,591/x
  3. Step 3: Cross multiply
    27,609x = 59,591 × 59,591
  4. Step 4: Simplify right side
    27,609x = 3,551,087,281
  5. Step 5: Solve for x
    x = 3,551,087,281/27,609
  6. Step 6: Final answer
    x = 128,620.64

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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.