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Finding the Third Proportional to 29,682 and 71,523

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Solution

The third proportional to 29,682 and 71,523 is: 172,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682 : 71,523 = 71,523 : x
  2. Step 2: Convert to fraction form
    29,682/71,523 = 71,523/x
  3. Step 3: Cross multiply
    29,682x = 71,523 × 71,523
  4. Step 4: Simplify right side
    29,682x = 5,115,539,529
  5. Step 5: Solve for x
    x = 5,115,539,529/29,682
  6. Step 6: Final answer
    x = 172,344.84

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.