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Finding the Third Proportional to 34,359.82 and 48,148.17

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Solution

The third proportional to 34,359.82 and 48,148.17 is: 67,469.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,359.82 : 48,148.17 = 48,148.17 : x
  2. Step 2: Convert to fraction form
    34,359.82/48,148.17 = 48,148.17/x
  3. Step 3: Cross multiply
    34,359.82x = 48,148.17 × 48,148.17
  4. Step 4: Simplify right side
    34,359.82x = 2,318,246,454.90
  5. Step 5: Solve for x
    x = 2,318,246,454.90/34,359.82
  6. Step 6: Final answer
    x = 67,469.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.