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Finding the Third Proportional to 2,023.13 and 4,144.13

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Solution

The third proportional to 2,023.13 and 4,144.13 is: 8,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.13 : 4,144.13 = 4,144.13 : x
  2. Step 2: Convert to fraction form
    2,023.13/4,144.13 = 4,144.13/x
  3. Step 3: Cross multiply
    2,023.13x = 4,144.13 × 4,144.13
  4. Step 4: Simplify right side
    2,023.13x = 17,173,772.02
  5. Step 5: Solve for x
    x = 17,173,772.02/2,023.13
  6. Step 6: Final answer
    x = 8,488.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.