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Finding the Third Proportional to 38,485.13 and 48,169.69

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Solution

The third proportional to 38,485.13 and 48,169.69 is: 60,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,485.13 : 48,169.69 = 48,169.69 : x
  2. Step 2: Convert to fraction form
    38,485.13/48,169.69 = 48,169.69/x
  3. Step 3: Cross multiply
    38,485.13x = 48,169.69 × 48,169.69
  4. Step 4: Simplify right side
    38,485.13x = 2,320,318,793.85
  5. Step 5: Solve for x
    x = 2,320,318,793.85/38,485.13
  6. Step 6: Final answer
    x = 60,291.31

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.