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Finding the Third Proportional to 29,478 and 44,112

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Solution

The third proportional to 29,478 and 44,112 is: 66,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,478 : 44,112 = 44,112 : x
  2. Step 2: Convert to fraction form
    29,478/44,112 = 44,112/x
  3. Step 3: Cross multiply
    29,478x = 44,112 × 44,112
  4. Step 4: Simplify right side
    29,478x = 1,945,868,544
  5. Step 5: Solve for x
    x = 1,945,868,544/29,478
  6. Step 6: Final answer
    x = 66,010.87

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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.