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Finding the Third Proportional to 13,771 and 21,887

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Solution

The third proportional to 13,771 and 21,887 is: 34,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771 : 21,887 = 21,887 : x
  2. Step 2: Convert to fraction form
    13,771/21,887 = 21,887/x
  3. Step 3: Cross multiply
    13,771x = 21,887 × 21,887
  4. Step 4: Simplify right side
    13,771x = 479,040,769
  5. Step 5: Solve for x
    x = 479,040,769/13,771
  6. Step 6: Final answer
    x = 34,786.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.