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Finding the Third Proportional to 2,142 and 3,049

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Solution

The third proportional to 2,142 and 3,049 is: 4,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 3,049 = 3,049 : x
  2. Step 2: Convert to fraction form
    2,142/3,049 = 3,049/x
  3. Step 3: Cross multiply
    2,142x = 3,049 × 3,049
  4. Step 4: Simplify right side
    2,142x = 9,296,401
  5. Step 5: Solve for x
    x = 9,296,401/2,142
  6. Step 6: Final answer
    x = 4,340.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.