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Finding the Third Proportional to 3,042 and 3,963

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Solution

The third proportional to 3,042 and 3,963 is: 5,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042 : 3,963 = 3,963 : x
  2. Step 2: Convert to fraction form
    3,042/3,963 = 3,963/x
  3. Step 3: Cross multiply
    3,042x = 3,963 × 3,963
  4. Step 4: Simplify right side
    3,042x = 15,705,369
  5. Step 5: Solve for x
    x = 15,705,369/3,042
  6. Step 6: Final answer
    x = 5,162.84

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.