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Finding the Third Proportional to 2,179.41 and 5,132.11

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Solution

The third proportional to 2,179.41 and 5,132.11 is: 12,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.41 : 5,132.11 = 5,132.11 : x
  2. Step 2: Convert to fraction form
    2,179.41/5,132.11 = 5,132.11/x
  3. Step 3: Cross multiply
    2,179.41x = 5,132.11 × 5,132.11
  4. Step 4: Simplify right side
    2,179.41x = 26,338,546.64
  5. Step 5: Solve for x
    x = 26,338,546.64/2,179.41
  6. Step 6: Final answer
    x = 12,085.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.