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Finding the Third Proportional to 8,180 and 12,972

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Solution

The third proportional to 8,180 and 12,972 is: 20,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180 : 12,972 = 12,972 : x
  2. Step 2: Convert to fraction form
    8,180/12,972 = 12,972/x
  3. Step 3: Cross multiply
    8,180x = 12,972 × 12,972
  4. Step 4: Simplify right side
    8,180x = 168,272,784
  5. Step 5: Solve for x
    x = 168,272,784/8,180
  6. Step 6: Final answer
    x = 20,571.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.