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Finding the Third Proportional to 29,797.25 and 44,180.88

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Solution

The third proportional to 29,797.25 and 44,180.88 is: 65,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,797.25 : 44,180.88 = 44,180.88 : x
  2. Step 2: Convert to fraction form
    29,797.25/44,180.88 = 44,180.88/x
  3. Step 3: Cross multiply
    29,797.25x = 44,180.88 × 44,180.88
  4. Step 4: Simplify right side
    29,797.25x = 1,951,949,715.77
  5. Step 5: Solve for x
    x = 1,951,949,715.77/29,797.25
  6. Step 6: Final answer
    x = 65,507.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.