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Finding the Third Proportional to 2,144.13 and 3,207.19

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Solution

The third proportional to 2,144.13 and 3,207.19 is: 4,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.13 : 3,207.19 = 3,207.19 : x
  2. Step 2: Convert to fraction form
    2,144.13/3,207.19 = 3,207.19/x
  3. Step 3: Cross multiply
    2,144.13x = 3,207.19 × 3,207.19
  4. Step 4: Simplify right side
    2,144.13x = 10,286,051.66
  5. Step 5: Solve for x
    x = 10,286,051.66/2,144.13
  6. Step 6: Final answer
    x = 4,797.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.