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Finding the Third Proportional to 32,884 and 71,920

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Solution

The third proportional to 32,884 and 71,920 is: 157,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884 : 71,920 = 71,920 : x
  2. Step 2: Convert to fraction form
    32,884/71,920 = 71,920/x
  3. Step 3: Cross multiply
    32,884x = 71,920 × 71,920
  4. Step 4: Simplify right side
    32,884x = 5,172,486,400
  5. Step 5: Solve for x
    x = 5,172,486,400/32,884
  6. Step 6: Final answer
    x = 157,294.93

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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.