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Finding the Third Proportional to 18,102 and 26,961

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Solution

The third proportional to 18,102 and 26,961 is: 40,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102 : 26,961 = 26,961 : x
  2. Step 2: Convert to fraction form
    18,102/26,961 = 26,961/x
  3. Step 3: Cross multiply
    18,102x = 26,961 × 26,961
  4. Step 4: Simplify right side
    18,102x = 726,895,521
  5. Step 5: Solve for x
    x = 726,895,521/18,102
  6. Step 6: Final answer
    x = 40,155.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.