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Finding the Third Proportional to 27,909 and 60,536

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Solution

The third proportional to 27,909 and 60,536 is: 131,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909 : 60,536 = 60,536 : x
  2. Step 2: Convert to fraction form
    27,909/60,536 = 60,536/x
  3. Step 3: Cross multiply
    27,909x = 60,536 × 60,536
  4. Step 4: Simplify right side
    27,909x = 3,664,607,296
  5. Step 5: Solve for x
    x = 3,664,607,296/27,909
  6. Step 6: Final answer
    x = 131,305.58

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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.