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Finding the Third Proportional to 2,702.11 and 5,481.42

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Solution

The third proportional to 2,702.11 and 5,481.42 is: 11,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.11 : 5,481.42 = 5,481.42 : x
  2. Step 2: Convert to fraction form
    2,702.11/5,481.42 = 5,481.42/x
  3. Step 3: Cross multiply
    2,702.11x = 5,481.42 × 5,481.42
  4. Step 4: Simplify right side
    2,702.11x = 30,045,985.77
  5. Step 5: Solve for x
    x = 30,045,985.77/2,702.11
  6. Step 6: Final answer
    x = 11,119.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.