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Finding the Third Proportional to 18,027.38 and 38,718.75

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Solution

The third proportional to 18,027.38 and 38,718.75 is: 83,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,027.38 : 38,718.75 = 38,718.75 : x
  2. Step 2: Convert to fraction form
    18,027.38/38,718.75 = 38,718.75/x
  3. Step 3: Cross multiply
    18,027.38x = 38,718.75 × 38,718.75
  4. Step 4: Simplify right side
    18,027.38x = 1,499,141,601.56
  5. Step 5: Solve for x
    x = 1,499,141,601.56/18,027.38
  6. Step 6: Final answer
    x = 83,159.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.