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Finding the Third Proportional to 32,912 and 71,293

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Solution

The third proportional to 32,912 and 71,293 is: 154,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,912 : 71,293 = 71,293 : x
  2. Step 2: Convert to fraction form
    32,912/71,293 = 71,293/x
  3. Step 3: Cross multiply
    32,912x = 71,293 × 71,293
  4. Step 4: Simplify right side
    32,912x = 5,082,691,849
  5. Step 5: Solve for x
    x = 5,082,691,849/32,912
  6. Step 6: Final answer
    x = 154,432.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.