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Finding the Third Proportional to 2,671 and 6,239.75

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Solution

The third proportional to 2,671 and 6,239.75 is: 14,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671 : 6,239.75 = 6,239.75 : x
  2. Step 2: Convert to fraction form
    2,671/6,239.75 = 6,239.75/x
  3. Step 3: Cross multiply
    2,671x = 6,239.75 × 6,239.75
  4. Step 4: Simplify right side
    2,671x = 38,934,480.06
  5. Step 5: Solve for x
    x = 38,934,480.06/2,671
  6. Step 6: Final answer
    x = 14,576.74

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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.