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Finding the Third Proportional to 4,013.61 and 6,391.93

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Solution

The third proportional to 4,013.61 and 6,391.93 is: 10,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.61 : 6,391.93 = 6,391.93 : x
  2. Step 2: Convert to fraction form
    4,013.61/6,391.93 = 6,391.93/x
  3. Step 3: Cross multiply
    4,013.61x = 6,391.93 × 6,391.93
  4. Step 4: Simplify right side
    4,013.61x = 40,856,815.07
  5. Step 5: Solve for x
    x = 40,856,815.07/4,013.61
  6. Step 6: Final answer
    x = 10,179.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.