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Finding the Third Proportional to 32,439 and 71,269

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Solution

The third proportional to 32,439 and 71,269 is: 156,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,439 : 71,269 = 71,269 : x
  2. Step 2: Convert to fraction form
    32,439/71,269 = 71,269/x
  3. Step 3: Cross multiply
    32,439x = 71,269 × 71,269
  4. Step 4: Simplify right side
    32,439x = 5,079,270,361
  5. Step 5: Solve for x
    x = 5,079,270,361/32,439
  6. Step 6: Final answer
    x = 156,579.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.