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Finding the Third Proportional to 40,474.69 and 64,660.78

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Solution

The third proportional to 40,474.69 and 64,660.78 is: 103,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,474.69 : 64,660.78 = 64,660.78 : x
  2. Step 2: Convert to fraction form
    40,474.69/64,660.78 = 64,660.78/x
  3. Step 3: Cross multiply
    40,474.69x = 64,660.78 × 64,660.78
  4. Step 4: Simplify right side
    40,474.69x = 4,181,016,631.86
  5. Step 5: Solve for x
    x = 4,181,016,631.86/40,474.69
  6. Step 6: Final answer
    x = 103,299.54

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.