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Finding the Third Proportional to 20,110 and 26,827

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Solution

The third proportional to 20,110 and 26,827 is: 35,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,110 : 26,827 = 26,827 : x
  2. Step 2: Convert to fraction form
    20,110/26,827 = 26,827/x
  3. Step 3: Cross multiply
    20,110x = 26,827 × 26,827
  4. Step 4: Simplify right side
    20,110x = 719,687,929
  5. Step 5: Solve for x
    x = 719,687,929/20,110
  6. Step 6: Final answer
    x = 35,787.56

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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.