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Finding the Third Proportional to 3,702.38 and 6,729.75

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Solution

The third proportional to 3,702.38 and 6,729.75 is: 12,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.38 : 6,729.75 = 6,729.75 : x
  2. Step 2: Convert to fraction form
    3,702.38/6,729.75 = 6,729.75/x
  3. Step 3: Cross multiply
    3,702.38x = 6,729.75 × 6,729.75
  4. Step 4: Simplify right side
    3,702.38x = 45,289,535.06
  5. Step 5: Solve for x
    x = 45,289,535.06/3,702.38
  6. Step 6: Final answer
    x = 12,232.56

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.