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Finding the Third Proportional to 11,972 and 19,866

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Solution

The third proportional to 11,972 and 19,866 is: 32,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972 : 19,866 = 19,866 : x
  2. Step 2: Convert to fraction form
    11,972/19,866 = 19,866/x
  3. Step 3: Cross multiply
    11,972x = 19,866 × 19,866
  4. Step 4: Simplify right side
    11,972x = 394,657,956
  5. Step 5: Solve for x
    x = 394,657,956/11,972
  6. Step 6: Final answer
    x = 32,965.08

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.