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Finding the Third Proportional to 31,920 and 67,322

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Solution

The third proportional to 31,920 and 67,322 is: 141,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920 : 67,322 = 67,322 : x
  2. Step 2: Convert to fraction form
    31,920/67,322 = 67,322/x
  3. Step 3: Cross multiply
    31,920x = 67,322 × 67,322
  4. Step 4: Simplify right side
    31,920x = 4,532,251,684
  5. Step 5: Solve for x
    x = 4,532,251,684/31,920
  6. Step 6: Final answer
    x = 141,987.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.