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Finding the Third Proportional to 3,217.78 and 6,979.08

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Solution

The third proportional to 3,217.78 and 6,979.08 is: 15,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.78 : 6,979.08 = 6,979.08 : x
  2. Step 2: Convert to fraction form
    3,217.78/6,979.08 = 6,979.08/x
  3. Step 3: Cross multiply
    3,217.78x = 6,979.08 × 6,979.08
  4. Step 4: Simplify right side
    3,217.78x = 48,707,531.47
  5. Step 5: Solve for x
    x = 48,707,531.47/3,217.78
  6. Step 6: Final answer
    x = 15,136.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.