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Finding the Third Proportional to 29,182.78 and 48,148.17

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Solution

The third proportional to 29,182.78 and 48,148.17 is: 79,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,182.78 : 48,148.17 = 48,148.17 : x
  2. Step 2: Convert to fraction form
    29,182.78/48,148.17 = 48,148.17/x
  3. Step 3: Cross multiply
    29,182.78x = 48,148.17 × 48,148.17
  4. Step 4: Simplify right side
    29,182.78x = 2,318,246,454.90
  5. Step 5: Solve for x
    x = 2,318,246,454.90/29,182.78
  6. Step 6: Final answer
    x = 79,438.85

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.