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Finding the Third Proportional to 3,638.67 and 7,060.92

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Solution

The third proportional to 3,638.67 and 7,060.92 is: 13,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.67 : 7,060.92 = 7,060.92 : x
  2. Step 2: Convert to fraction form
    3,638.67/7,060.92 = 7,060.92/x
  3. Step 3: Cross multiply
    3,638.67x = 7,060.92 × 7,060.92
  4. Step 4: Simplify right side
    3,638.67x = 49,856,617.72
  5. Step 5: Solve for x
    x = 49,856,617.72/3,638.67
  6. Step 6: Final answer
    x = 13,701.87

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.