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Finding the Third Proportional to 2,141.44 and 5,244.75

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Solution

The third proportional to 2,141.44 and 5,244.75 is: 12,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.44 : 5,244.75 = 5,244.75 : x
  2. Step 2: Convert to fraction form
    2,141.44/5,244.75 = 5,244.75/x
  3. Step 3: Cross multiply
    2,141.44x = 5,244.75 × 5,244.75
  4. Step 4: Simplify right side
    2,141.44x = 27,507,402.56
  5. Step 5: Solve for x
    x = 27,507,402.56/2,141.44
  6. Step 6: Final answer
    x = 12,845.30

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.