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Finding the Third Proportional to 3,822.19 and 9,249.19

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Solution

The third proportional to 3,822.19 and 9,249.19 is: 22,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.19 : 9,249.19 = 9,249.19 : x
  2. Step 2: Convert to fraction form
    3,822.19/9,249.19 = 9,249.19/x
  3. Step 3: Cross multiply
    3,822.19x = 9,249.19 × 9,249.19
  4. Step 4: Simplify right side
    3,822.19x = 85,547,469.41
  5. Step 5: Solve for x
    x = 85,547,469.41/3,822.19
  6. Step 6: Final answer
    x = 22,381.81

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.