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Finding the Third Proportional to 27,468 and 59,661

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Solution

The third proportional to 27,468 and 59,661 is: 129,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468 : 59,661 = 59,661 : x
  2. Step 2: Convert to fraction form
    27,468/59,661 = 59,661/x
  3. Step 3: Cross multiply
    27,468x = 59,661 × 59,661
  4. Step 4: Simplify right side
    27,468x = 3,559,434,921
  5. Step 5: Solve for x
    x = 3,559,434,921/27,468
  6. Step 6: Final answer
    x = 129,584.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.