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Finding the Third Proportional to 40,474.69 and 47,764.69

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Solution

The third proportional to 40,474.69 and 47,764.69 is: 56,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,474.69 : 47,764.69 = 47,764.69 : x
  2. Step 2: Convert to fraction form
    40,474.69/47,764.69 = 47,764.69/x
  3. Step 3: Cross multiply
    40,474.69x = 47,764.69 × 47,764.69
  4. Step 4: Simplify right side
    40,474.69x = 2,281,465,371.97
  5. Step 5: Solve for x
    x = 2,281,465,371.97/40,474.69
  6. Step 6: Final answer
    x = 56,367.71

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.