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Finding the Third Proportional to 3,254.55 and 6,979.92

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Solution

The third proportional to 3,254.55 and 6,979.92 is: 14,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.55 : 6,979.92 = 6,979.92 : x
  2. Step 2: Convert to fraction form
    3,254.55/6,979.92 = 6,979.92/x
  3. Step 3: Cross multiply
    3,254.55x = 6,979.92 × 6,979.92
  4. Step 4: Simplify right side
    3,254.55x = 48,719,309.38
  5. Step 5: Solve for x
    x = 48,719,309.38/3,254.55
  6. Step 6: Final answer
    x = 14,969.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.