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Finding the Third Proportional to 3,744 and 6,972

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Solution

The third proportional to 3,744 and 6,972 is: 12,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744 : 6,972 = 6,972 : x
  2. Step 2: Convert to fraction form
    3,744/6,972 = 6,972/x
  3. Step 3: Cross multiply
    3,744x = 6,972 × 6,972
  4. Step 4: Simplify right side
    3,744x = 48,608,784
  5. Step 5: Solve for x
    x = 48,608,784/3,744
  6. Step 6: Final answer
    x = 12,983.12

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.