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Finding the Third Proportional to 10,515.38 and 22,974.75

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Solution

The third proportional to 10,515.38 and 22,974.75 is: 50,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.38 : 22,974.75 = 22,974.75 : x
  2. Step 2: Convert to fraction form
    10,515.38/22,974.75 = 22,974.75/x
  3. Step 3: Cross multiply
    10,515.38x = 22,974.75 × 22,974.75
  4. Step 4: Simplify right side
    10,515.38x = 527,839,137.56
  5. Step 5: Solve for x
    x = 527,839,137.56/10,515.38
  6. Step 6: Final answer
    x = 50,196.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.