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Finding the Third Proportional to 3,780 and 9,132.75

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Solution

The third proportional to 3,780 and 9,132.75 is: 22,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 9,132.75 = 9,132.75 : x
  2. Step 2: Convert to fraction form
    3,780/9,132.75 = 9,132.75/x
  3. Step 3: Cross multiply
    3,780x = 9,132.75 × 9,132.75
  4. Step 4: Simplify right side
    3,780x = 83,407,122.56
  5. Step 5: Solve for x
    x = 83,407,122.56/3,780
  6. Step 6: Final answer
    x = 22,065.38

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.