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Finding the Third Proportional to 2,001.59 and 3,144.45

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Solution

The third proportional to 2,001.59 and 3,144.45 is: 4,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.59 : 3,144.45 = 3,144.45 : x
  2. Step 2: Convert to fraction form
    2,001.59/3,144.45 = 3,144.45/x
  3. Step 3: Cross multiply
    2,001.59x = 3,144.45 × 3,144.45
  4. Step 4: Simplify right side
    2,001.59x = 9,887,536.32
  5. Step 5: Solve for x
    x = 9,887,536.32/2,001.59
  6. Step 6: Final answer
    x = 4,939.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.