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Finding the Third Proportional to 47,648.86 and 69,881.83

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Solution

The third proportional to 47,648.86 and 69,881.83 is: 102,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,648.86 : 69,881.83 = 69,881.83 : x
  2. Step 2: Convert to fraction form
    47,648.86/69,881.83 = 69,881.83/x
  3. Step 3: Cross multiply
    47,648.86x = 69,881.83 × 69,881.83
  4. Step 4: Simplify right side
    47,648.86x = 4,883,469,765.60
  5. Step 5: Solve for x
    x = 4,883,469,765.60/47,648.86
  6. Step 6: Final answer
    x = 102,488.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.