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Finding the Third Proportional to 3,781.69 and 9,306.14

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Solution

The third proportional to 3,781.69 and 9,306.14 is: 22,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.69 : 9,306.14 = 9,306.14 : x
  2. Step 2: Convert to fraction form
    3,781.69/9,306.14 = 9,306.14/x
  3. Step 3: Cross multiply
    3,781.69x = 9,306.14 × 9,306.14
  4. Step 4: Simplify right side
    3,781.69x = 86,604,253.33
  5. Step 5: Solve for x
    x = 86,604,253.33/3,781.69
  6. Step 6: Final answer
    x = 22,900.95

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.