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Finding the Third Proportional to 44,474 and 67,074

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Solution

The third proportional to 44,474 and 67,074 is: 101,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,474 : 67,074 = 67,074 : x
  2. Step 2: Convert to fraction form
    44,474/67,074 = 67,074/x
  3. Step 3: Cross multiply
    44,474x = 67,074 × 67,074
  4. Step 4: Simplify right side
    44,474x = 4,498,921,476
  5. Step 5: Solve for x
    x = 4,498,921,476/44,474
  6. Step 6: Final answer
    x = 101,158.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.