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Finding the Third Proportional to 27,482 and 52,775

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Solution

The third proportional to 27,482 and 52,775 is: 101,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482 : 52,775 = 52,775 : x
  2. Step 2: Convert to fraction form
    27,482/52,775 = 52,775/x
  3. Step 3: Cross multiply
    27,482x = 52,775 × 52,775
  4. Step 4: Simplify right side
    27,482x = 2,785,200,625
  5. Step 5: Solve for x
    x = 2,785,200,625/27,482
  6. Step 6: Final answer
    x = 101,346.36

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.