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Finding the Third Proportional to 23,817 and 51,866

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Solution

The third proportional to 23,817 and 51,866 is: 112,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817 : 51,866 = 51,866 : x
  2. Step 2: Convert to fraction form
    23,817/51,866 = 51,866/x
  3. Step 3: Cross multiply
    23,817x = 51,866 × 51,866
  4. Step 4: Simplify right side
    23,817x = 2,690,081,956
  5. Step 5: Solve for x
    x = 2,690,081,956/23,817
  6. Step 6: Final answer
    x = 112,947.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.