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Finding the Third Proportional to 29,518 and 44,180

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Solution

The third proportional to 29,518 and 44,180 is: 66,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,518 : 44,180 = 44,180 : x
  2. Step 2: Convert to fraction form
    29,518/44,180 = 44,180/x
  3. Step 3: Cross multiply
    29,518x = 44,180 × 44,180
  4. Step 4: Simplify right side
    29,518x = 1,951,872,400
  5. Step 5: Solve for x
    x = 1,951,872,400/29,518
  6. Step 6: Final answer
    x = 66,124.82

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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.