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Finding the Third Proportional to 32,689 and 71,597

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Solution

The third proportional to 32,689 and 71,597 is: 156,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,689 : 71,597 = 71,597 : x
  2. Step 2: Convert to fraction form
    32,689/71,597 = 71,597/x
  3. Step 3: Cross multiply
    32,689x = 71,597 × 71,597
  4. Step 4: Simplify right side
    32,689x = 5,126,130,409
  5. Step 5: Solve for x
    x = 5,126,130,409/32,689
  6. Step 6: Final answer
    x = 156,815.15

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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.