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Finding the Third Proportional to 2,871.56 and 6,179.06

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Solution

The third proportional to 2,871.56 and 6,179.06 is: 13,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.56 : 6,179.06 = 6,179.06 : x
  2. Step 2: Convert to fraction form
    2,871.56/6,179.06 = 6,179.06/x
  3. Step 3: Cross multiply
    2,871.56x = 6,179.06 × 6,179.06
  4. Step 4: Simplify right side
    2,871.56x = 38,180,813.38
  5. Step 5: Solve for x
    x = 38,180,813.38/2,871.56
  6. Step 6: Final answer
    x = 13,296.18

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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.