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Finding the Third Proportional to 18,078 and 27,837

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Solution

The third proportional to 18,078 and 27,837 is: 42,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078 : 27,837 = 27,837 : x
  2. Step 2: Convert to fraction form
    18,078/27,837 = 27,837/x
  3. Step 3: Cross multiply
    18,078x = 27,837 × 27,837
  4. Step 4: Simplify right side
    18,078x = 774,898,569
  5. Step 5: Solve for x
    x = 774,898,569/18,078
  6. Step 6: Final answer
    x = 42,864.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.