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Finding the Third Proportional to 1,266.68 and 2,958.61

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Solution

The third proportional to 1,266.68 and 2,958.61 is: 6,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.68 : 2,958.61 = 2,958.61 : x
  2. Step 2: Convert to fraction form
    1,266.68/2,958.61 = 2,958.61/x
  3. Step 3: Cross multiply
    1,266.68x = 2,958.61 × 2,958.61
  4. Step 4: Simplify right side
    1,266.68x = 8,753,369.43
  5. Step 5: Solve for x
    x = 8,753,369.43/1,266.68
  6. Step 6: Final answer
    x = 6,910.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.