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Finding the Third Proportional to 29,656.13 and 48,169.69

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Solution

The third proportional to 29,656.13 and 48,169.69 is: 78,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656.13 : 48,169.69 = 48,169.69 : x
  2. Step 2: Convert to fraction form
    29,656.13/48,169.69 = 48,169.69/x
  3. Step 3: Cross multiply
    29,656.13x = 48,169.69 × 48,169.69
  4. Step 4: Simplify right side
    29,656.13x = 2,320,318,793.85
  5. Step 5: Solve for x
    x = 2,320,318,793.85/29,656.13
  6. Step 6: Final answer
    x = 78,240.79

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.