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Finding the Third Proportional to 8,113.92 and 14,067.42

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Solution

The third proportional to 8,113.92 and 14,067.42 is: 24,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.92 : 14,067.42 = 14,067.42 : x
  2. Step 2: Convert to fraction form
    8,113.92/14,067.42 = 14,067.42/x
  3. Step 3: Cross multiply
    8,113.92x = 14,067.42 × 14,067.42
  4. Step 4: Simplify right side
    8,113.92x = 197,892,358.21
  5. Step 5: Solve for x
    x = 197,892,358.21/8,113.92
  6. Step 6: Final answer
    x = 24,389.24

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.