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Finding the Third Proportional to 8,766.84 and 18,049.78

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Solution

The third proportional to 8,766.84 and 18,049.78 is: 37,162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.84 : 18,049.78 = 18,049.78 : x
  2. Step 2: Convert to fraction form
    8,766.84/18,049.78 = 18,049.78/x
  3. Step 3: Cross multiply
    8,766.84x = 18,049.78 × 18,049.78
  4. Step 4: Simplify right side
    8,766.84x = 325,794,603.17
  5. Step 5: Solve for x
    x = 325,794,603.17/8,766.84
  6. Step 6: Final answer
    x = 37,162.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.