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Finding the Third Proportional to 20,170 and 26,895

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Solution

The third proportional to 20,170 and 26,895 is: 35,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170 : 26,895 = 26,895 : x
  2. Step 2: Convert to fraction form
    20,170/26,895 = 26,895/x
  3. Step 3: Cross multiply
    20,170x = 26,895 × 26,895
  4. Step 4: Simplify right side
    20,170x = 723,341,025
  5. Step 5: Solve for x
    x = 723,341,025/20,170
  6. Step 6: Final answer
    x = 35,862.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.