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Finding the Third Proportional to 27,775 and 60,952

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Solution

The third proportional to 27,775 and 60,952 is: 133,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775 : 60,952 = 60,952 : x
  2. Step 2: Convert to fraction form
    27,775/60,952 = 60,952/x
  3. Step 3: Cross multiply
    27,775x = 60,952 × 60,952
  4. Step 4: Simplify right side
    27,775x = 3,715,146,304
  5. Step 5: Solve for x
    x = 3,715,146,304/27,775
  6. Step 6: Final answer
    x = 133,758.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.