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Finding the Third Proportional to 44,606 and 67,287

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Solution

The third proportional to 44,606 and 67,287 is: 101,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,606 : 67,287 = 67,287 : x
  2. Step 2: Convert to fraction form
    44,606/67,287 = 67,287/x
  3. Step 3: Cross multiply
    44,606x = 67,287 × 67,287
  4. Step 4: Simplify right side
    44,606x = 4,527,540,369
  5. Step 5: Solve for x
    x = 4,527,540,369/44,606
  6. Step 6: Final answer
    x = 101,500.70

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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.