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Finding the Third Proportional to 31,992 and 66,552

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Solution

The third proportional to 31,992 and 66,552 is: 138,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992 : 66,552 = 66,552 : x
  2. Step 2: Convert to fraction form
    31,992/66,552 = 66,552/x
  3. Step 3: Cross multiply
    31,992x = 66,552 × 66,552
  4. Step 4: Simplify right side
    31,992x = 4,429,168,704
  5. Step 5: Solve for x
    x = 4,429,168,704/31,992
  6. Step 6: Final answer
    x = 138,446.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.