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Finding the Third Proportional to 13,806 and 30,732.75

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Solution

The third proportional to 13,806 and 30,732.75 is: 68,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 30,732.75 = 30,732.75 : x
  2. Step 2: Convert to fraction form
    13,806/30,732.75 = 30,732.75/x
  3. Step 3: Cross multiply
    13,806x = 30,732.75 × 30,732.75
  4. Step 4: Simplify right side
    13,806x = 944,501,922.56
  5. Step 5: Solve for x
    x = 944,501,922.56/13,806
  6. Step 6: Final answer
    x = 68,412.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.