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Finding the Third Proportional to 3,074 and 4,007

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Solution

The third proportional to 3,074 and 4,007 is: 5,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074 : 4,007 = 4,007 : x
  2. Step 2: Convert to fraction form
    3,074/4,007 = 4,007/x
  3. Step 3: Cross multiply
    3,074x = 4,007 × 4,007
  4. Step 4: Simplify right side
    3,074x = 16,056,049
  5. Step 5: Solve for x
    x = 16,056,049/3,074
  6. Step 6: Final answer
    x = 5,223.18

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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.