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Finding the Third Proportional to 2,143.41 and 3,002.48

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Solution

The third proportional to 2,143.41 and 3,002.48 is: 4,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.41 : 3,002.48 = 3,002.48 : x
  2. Step 2: Convert to fraction form
    2,143.41/3,002.48 = 3,002.48/x
  3. Step 3: Cross multiply
    2,143.41x = 3,002.48 × 3,002.48
  4. Step 4: Simplify right side
    2,143.41x = 9,014,912.42
  5. Step 5: Solve for x
    x = 9,014,912.42/2,143.41
  6. Step 6: Final answer
    x = 4,205.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.