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Finding the Third Proportional to 6,481.27 and 10,280.04

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Solution

The third proportional to 6,481.27 and 10,280.04 is: 16,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.27 : 10,280.04 = 10,280.04 : x
  2. Step 2: Convert to fraction form
    6,481.27/10,280.04 = 10,280.04/x
  3. Step 3: Cross multiply
    6,481.27x = 10,280.04 × 10,280.04
  4. Step 4: Simplify right side
    6,481.27x = 105,679,203.13
  5. Step 5: Solve for x
    x = 105,679,203.13/6,481.27
  6. Step 6: Final answer
    x = 16,305.33

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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.