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Finding the Third Proportional to 6,249.94 and 12,853.13

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Solution

The third proportional to 6,249.94 and 12,853.13 is: 26,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.94 : 12,853.13 = 12,853.13 : x
  2. Step 2: Convert to fraction form
    6,249.94/12,853.13 = 12,853.13/x
  3. Step 3: Cross multiply
    6,249.94x = 12,853.13 × 12,853.13
  4. Step 4: Simplify right side
    6,249.94x = 165,202,822.27
  5. Step 5: Solve for x
    x = 165,202,822.27/6,249.94
  6. Step 6: Final answer
    x = 26,432.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.