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Finding the Third Proportional to 11,132 and 14,866

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Solution

The third proportional to 11,132 and 14,866 is: 19,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132 : 14,866 = 14,866 : x
  2. Step 2: Convert to fraction form
    11,132/14,866 = 14,866/x
  3. Step 3: Cross multiply
    11,132x = 14,866 × 14,866
  4. Step 4: Simplify right side
    11,132x = 220,997,956
  5. Step 5: Solve for x
    x = 220,997,956/11,132
  6. Step 6: Final answer
    x = 19,852.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.