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Finding the Third Proportional to 2,141.44 and 2,431.90

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Solution

The third proportional to 2,141.44 and 2,431.90 is: 2,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.44 : 2,431.90 = 2,431.90 : x
  2. Step 2: Convert to fraction form
    2,141.44/2,431.90 = 2,431.90/x
  3. Step 3: Cross multiply
    2,141.44x = 2,431.90 × 2,431.90
  4. Step 4: Simplify right side
    2,141.44x = 5,914,130.01
  5. Step 5: Solve for x
    x = 5,914,130.01/2,141.44
  6. Step 6: Final answer
    x = 2,761.76

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.