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Finding the Third Proportional to 32,608 and 71,467

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Solution

The third proportional to 32,608 and 71,467 is: 156,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,608 : 71,467 = 71,467 : x
  2. Step 2: Convert to fraction form
    32,608/71,467 = 71,467/x
  3. Step 3: Cross multiply
    32,608x = 71,467 × 71,467
  4. Step 4: Simplify right side
    32,608x = 5,107,532,089
  5. Step 5: Solve for x
    x = 5,107,532,089/32,608
  6. Step 6: Final answer
    x = 156,634.33

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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.