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Finding the Third Proportional to 3,182.41 and 6,979.29

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Solution

The third proportional to 3,182.41 and 6,979.29 is: 15,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.41 : 6,979.29 = 6,979.29 : x
  2. Step 2: Convert to fraction form
    3,182.41/6,979.29 = 6,979.29/x
  3. Step 3: Cross multiply
    3,182.41x = 6,979.29 × 6,979.29
  4. Step 4: Simplify right side
    3,182.41x = 48,710,475.82
  5. Step 5: Solve for x
    x = 48,710,475.82/3,182.41
  6. Step 6: Final answer
    x = 15,306.14

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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.