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Finding the Third Proportional to 32,474 and 67,444

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Solution

The third proportional to 32,474 and 67,444 is: 140,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,474 : 67,444 = 67,444 : x
  2. Step 2: Convert to fraction form
    32,474/67,444 = 67,444/x
  3. Step 3: Cross multiply
    32,474x = 67,444 × 67,444
  4. Step 4: Simplify right side
    32,474x = 4,548,693,136
  5. Step 5: Solve for x
    x = 4,548,693,136/32,474
  6. Step 6: Final answer
    x = 140,071.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.