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Finding the Third Proportional to 22,380.75 and 31,371.75

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Solution

The third proportional to 22,380.75 and 31,371.75 is: 43,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.75 : 31,371.75 = 31,371.75 : x
  2. Step 2: Convert to fraction form
    22,380.75/31,371.75 = 31,371.75/x
  3. Step 3: Cross multiply
    22,380.75x = 31,371.75 × 31,371.75
  4. Step 4: Simplify right side
    22,380.75x = 984,186,698.06
  5. Step 5: Solve for x
    x = 984,186,698.06/22,380.75
  6. Step 6: Final answer
    x = 43,974.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.