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Finding the Third Proportional to 2,166 and 3,972

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Solution

The third proportional to 2,166 and 3,972 is: 7,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166 : 3,972 = 3,972 : x
  2. Step 2: Convert to fraction form
    2,166/3,972 = 3,972/x
  3. Step 3: Cross multiply
    2,166x = 3,972 × 3,972
  4. Step 4: Simplify right side
    2,166x = 15,776,784
  5. Step 5: Solve for x
    x = 15,776,784/2,166
  6. Step 6: Final answer
    x = 7,283.83

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.