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Finding the Third Proportional to 18,832.50 and 25,822.97

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Solution

The third proportional to 18,832.50 and 25,822.97 is: 35,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,832.50 : 25,822.97 = 25,822.97 : x
  2. Step 2: Convert to fraction form
    18,832.50/25,822.97 = 25,822.97/x
  3. Step 3: Cross multiply
    18,832.50x = 25,822.97 × 25,822.97
  4. Step 4: Simplify right side
    18,832.50x = 666,825,715.06
  5. Step 5: Solve for x
    x = 666,825,715.06/18,832.50
  6. Step 6: Final answer
    x = 35,408.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.