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Finding the Third Proportional to 13,806 and 29,945.25

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Solution

The third proportional to 13,806 and 29,945.25 is: 64,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806 : 29,945.25 = 29,945.25 : x
  2. Step 2: Convert to fraction form
    13,806/29,945.25 = 29,945.25/x
  3. Step 3: Cross multiply
    13,806x = 29,945.25 × 29,945.25
  4. Step 4: Simplify right side
    13,806x = 896,717,997.56
  5. Step 5: Solve for x
    x = 896,717,997.56/13,806
  6. Step 6: Final answer
    x = 64,951.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.