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Finding the Third Proportional to 38,052 and 80,952

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Solution

The third proportional to 38,052 and 80,952 is: 172,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052 : 80,952 = 80,952 : x
  2. Step 2: Convert to fraction form
    38,052/80,952 = 80,952/x
  3. Step 3: Cross multiply
    38,052x = 80,952 × 80,952
  4. Step 4: Simplify right side
    38,052x = 6,553,226,304
  5. Step 5: Solve for x
    x = 6,553,226,304/38,052
  6. Step 6: Final answer
    x = 172,217.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.