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Finding the Third Proportional to 44,872 and 67,416

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Solution

The third proportional to 44,872 and 67,416 is: 101,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,872 : 67,416 = 67,416 : x
  2. Step 2: Convert to fraction form
    44,872/67,416 = 67,416/x
  3. Step 3: Cross multiply
    44,872x = 67,416 × 67,416
  4. Step 4: Simplify right side
    44,872x = 4,544,917,056
  5. Step 5: Solve for x
    x = 4,544,917,056/44,872
  6. Step 6: Final answer
    x = 101,286.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.