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Finding the Third Proportional to 22,839.75 and 50,869.69

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Solution

The third proportional to 22,839.75 and 50,869.69 is: 113,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,839.75 : 50,869.69 = 50,869.69 : x
  2. Step 2: Convert to fraction form
    22,839.75/50,869.69 = 50,869.69/x
  3. Step 3: Cross multiply
    22,839.75x = 50,869.69 × 50,869.69
  4. Step 4: Simplify right side
    22,839.75x = 2,587,725,106.35
  5. Step 5: Solve for x
    x = 2,587,725,106.35/22,839.75
  6. Step 6: Final answer
    x = 113,299.19

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.