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Finding the Third Proportional to 22,218.75 and 31,249.13

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Solution

The third proportional to 22,218.75 and 31,249.13 is: 43,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,218.75 : 31,249.13 = 31,249.13 : x
  2. Step 2: Convert to fraction form
    22,218.75/31,249.13 = 31,249.13/x
  3. Step 3: Cross multiply
    22,218.75x = 31,249.13 × 31,249.13
  4. Step 4: Simplify right side
    22,218.75x = 976,507,813.27
  5. Step 5: Solve for x
    x = 976,507,813.27/22,218.75
  6. Step 6: Final answer
    x = 43,949.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.