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Finding the Third Proportional to 3,729.38 and 8,184.38

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Solution

The third proportional to 3,729.38 and 8,184.38 is: 17,961.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.38 : 8,184.38 = 8,184.38 : x
  2. Step 2: Convert to fraction form
    3,729.38/8,184.38 = 8,184.38/x
  3. Step 3: Cross multiply
    3,729.38x = 8,184.38 × 8,184.38
  4. Step 4: Simplify right side
    3,729.38x = 66,983,994.14
  5. Step 5: Solve for x
    x = 66,983,994.14/3,729.38
  6. Step 6: Final answer
    x = 17,961.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.