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Finding the Third Proportional to 6,373.05 and 13,702.92

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Solution

The third proportional to 6,373.05 and 13,702.92 is: 29,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.05 : 13,702.92 = 13,702.92 : x
  2. Step 2: Convert to fraction form
    6,373.05/13,702.92 = 13,702.92/x
  3. Step 3: Cross multiply
    6,373.05x = 13,702.92 × 13,702.92
  4. Step 4: Simplify right side
    6,373.05x = 187,770,067.91
  5. Step 5: Solve for x
    x = 187,770,067.91/6,373.05
  6. Step 6: Final answer
    x = 29,463.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.