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Finding the Third Proportional to 3,679.17 and 7,794.98

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Solution

The third proportional to 3,679.17 and 7,794.98 is: 16,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.17 : 7,794.98 = 7,794.98 : x
  2. Step 2: Convert to fraction form
    3,679.17/7,794.98 = 7,794.98/x
  3. Step 3: Cross multiply
    3,679.17x = 7,794.98 × 7,794.98
  4. Step 4: Simplify right side
    3,679.17x = 60,761,781.41
  5. Step 5: Solve for x
    x = 60,761,781.41/3,679.17
  6. Step 6: Final answer
    x = 16,515.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.