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Finding the Third Proportional to 3,162.28 and 6,939.61

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Solution

The third proportional to 3,162.28 and 6,939.61 is: 15,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.28 : 6,939.61 = 6,939.61 : x
  2. Step 2: Convert to fraction form
    3,162.28/6,939.61 = 6,939.61/x
  3. Step 3: Cross multiply
    3,162.28x = 6,939.61 × 6,939.61
  4. Step 4: Simplify right side
    3,162.28x = 48,158,178.28
  5. Step 5: Solve for x
    x = 48,158,178.28/3,162.28
  6. Step 6: Final answer
    x = 15,228.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.