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Finding the Third Proportional to 6,979.92 and 15,214.92

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Solution

The third proportional to 6,979.92 and 15,214.92 is: 33,165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,979.92 : 15,214.92 = 15,214.92 : x
  2. Step 2: Convert to fraction form
    6,979.92/15,214.92 = 15,214.92/x
  3. Step 3: Cross multiply
    6,979.92x = 15,214.92 × 15,214.92
  4. Step 4: Simplify right side
    6,979.92x = 231,493,847.66
  5. Step 5: Solve for x
    x = 231,493,847.66/6,979.92
  6. Step 6: Final answer
    x = 33,165.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.