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Finding the Third Proportional to 2,110.13 and 4,422.75

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Solution

The third proportional to 2,110.13 and 4,422.75 is: 9,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.13 : 4,422.75 = 4,422.75 : x
  2. Step 2: Convert to fraction form
    2,110.13/4,422.75 = 4,422.75/x
  3. Step 3: Cross multiply
    2,110.13x = 4,422.75 × 4,422.75
  4. Step 4: Simplify right side
    2,110.13x = 19,560,717.56
  5. Step 5: Solve for x
    x = 19,560,717.56/2,110.13
  6. Step 6: Final answer
    x = 9,269.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.