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Finding the Third Proportional to 6,836.91 and 10,711.41

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Solution

The third proportional to 6,836.91 and 10,711.41 is: 16,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.91 : 10,711.41 = 10,711.41 : x
  2. Step 2: Convert to fraction form
    6,836.91/10,711.41 = 10,711.41/x
  3. Step 3: Cross multiply
    6,836.91x = 10,711.41 × 10,711.41
  4. Step 4: Simplify right side
    6,836.91x = 114,734,223.85
  5. Step 5: Solve for x
    x = 114,734,223.85/6,836.91
  6. Step 6: Final answer
    x = 16,781.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.