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Finding the Third Proportional to 2,979.28 and 4,382.86

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Solution

The third proportional to 2,979.28 and 4,382.86 is: 6,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.28 : 4,382.86 = 4,382.86 : x
  2. Step 2: Convert to fraction form
    2,979.28/4,382.86 = 4,382.86/x
  3. Step 3: Cross multiply
    2,979.28x = 4,382.86 × 4,382.86
  4. Step 4: Simplify right side
    2,979.28x = 19,209,456.30
  5. Step 5: Solve for x
    x = 19,209,456.30/2,979.28
  6. Step 6: Final answer
    x = 6,447.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.