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Finding the Third Proportional to 8,371.69 and 13,002.19

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Solution

The third proportional to 8,371.69 and 13,002.19 is: 20,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.69 : 13,002.19 = 13,002.19 : x
  2. Step 2: Convert to fraction form
    8,371.69/13,002.19 = 13,002.19/x
  3. Step 3: Cross multiply
    8,371.69x = 13,002.19 × 13,002.19
  4. Step 4: Simplify right side
    8,371.69x = 169,056,879.79
  5. Step 5: Solve for x
    x = 169,056,879.79/8,371.69
  6. Step 6: Final answer
    x = 20,193.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.