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Finding the Third Proportional to 4,138.50 and 9,768.75

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Solution

The third proportional to 4,138.50 and 9,768.75 is: 23,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.50 : 9,768.75 = 9,768.75 : x
  2. Step 2: Convert to fraction form
    4,138.50/9,768.75 = 9,768.75/x
  3. Step 3: Cross multiply
    4,138.50x = 9,768.75 × 9,768.75
  4. Step 4: Simplify right side
    4,138.50x = 95,428,476.56
  5. Step 5: Solve for x
    x = 95,428,476.56/4,138.50
  6. Step 6: Final answer
    x = 23,058.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.