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Finding the Third Proportional to 6,981.82 and 9,766.41

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Solution

The third proportional to 6,981.82 and 9,766.41 is: 13,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.82 : 9,766.41 = 9,766.41 : x
  2. Step 2: Convert to fraction form
    6,981.82/9,766.41 = 9,766.41/x
  3. Step 3: Cross multiply
    6,981.82x = 9,766.41 × 9,766.41
  4. Step 4: Simplify right side
    6,981.82x = 95,382,691.04
  5. Step 5: Solve for x
    x = 95,382,691.04/6,981.82
  6. Step 6: Final answer
    x = 13,661.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.