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Finding the Third Proportional to 18,024.75 and 38,822.75

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Solution

The third proportional to 18,024.75 and 38,822.75 is: 83,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024.75 : 38,822.75 = 38,822.75 : x
  2. Step 2: Convert to fraction form
    18,024.75/38,822.75 = 38,822.75/x
  3. Step 3: Cross multiply
    18,024.75x = 38,822.75 × 38,822.75
  4. Step 4: Simplify right side
    18,024.75x = 1,507,205,917.56
  5. Step 5: Solve for x
    x = 1,507,205,917.56/18,024.75
  6. Step 6: Final answer
    x = 83,618.69

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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.