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Finding the Third Proportional to 29,932 and 44,815

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Solution

The third proportional to 29,932 and 44,815 is: 67,098.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,932 : 44,815 = 44,815 : x
  2. Step 2: Convert to fraction form
    29,932/44,815 = 44,815/x
  3. Step 3: Cross multiply
    29,932x = 44,815 × 44,815
  4. Step 4: Simplify right side
    29,932x = 2,008,384,225
  5. Step 5: Solve for x
    x = 2,008,384,225/29,932
  6. Step 6: Final answer
    x = 67,098.23

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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.