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Finding the Third Proportional to 13,761 and 19,147

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Solution

The third proportional to 13,761 and 19,147 is: 26,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761 : 19,147 = 19,147 : x
  2. Step 2: Convert to fraction form
    13,761/19,147 = 19,147/x
  3. Step 3: Cross multiply
    13,761x = 19,147 × 19,147
  4. Step 4: Simplify right side
    13,761x = 366,607,609
  5. Step 5: Solve for x
    x = 366,607,609/13,761
  6. Step 6: Final answer
    x = 26,641.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.