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Finding the Third Proportional to 32,217 and 49,866

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Solution

The third proportional to 32,217 and 49,866 is: 77,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,217 : 49,866 = 49,866 : x
  2. Step 2: Convert to fraction form
    32,217/49,866 = 49,866/x
  3. Step 3: Cross multiply
    32,217x = 49,866 × 49,866
  4. Step 4: Simplify right side
    32,217x = 2,486,617,956
  5. Step 5: Solve for x
    x = 2,486,617,956/32,217
  6. Step 6: Final answer
    x = 77,183.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.