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Finding the Third Proportional to 8,073.11 and 16,838.19

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Solution

The third proportional to 8,073.11 and 16,838.19 is: 35,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.11 : 16,838.19 = 16,838.19 : x
  2. Step 2: Convert to fraction form
    8,073.11/16,838.19 = 16,838.19/x
  3. Step 3: Cross multiply
    8,073.11x = 16,838.19 × 16,838.19
  4. Step 4: Simplify right side
    8,073.11x = 283,524,689.83
  5. Step 5: Solve for x
    x = 283,524,689.83/8,073.11
  6. Step 6: Final answer
    x = 35,119.66

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.