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Finding the Third Proportional to 2,871.07 and 6,167.39

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Solution

The third proportional to 2,871.07 and 6,167.39 is: 13,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.07 : 6,167.39 = 6,167.39 : x
  2. Step 2: Convert to fraction form
    2,871.07/6,167.39 = 6,167.39/x
  3. Step 3: Cross multiply
    2,871.07x = 6,167.39 × 6,167.39
  4. Step 4: Simplify right side
    2,871.07x = 38,036,707.12
  5. Step 5: Solve for x
    x = 38,036,707.12/2,871.07
  6. Step 6: Final answer
    x = 13,248.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.