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Finding the Third Proportional to 7,180.50 and 15,228.75

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Solution

The third proportional to 7,180.50 and 15,228.75 is: 32,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.50 : 15,228.75 = 15,228.75 : x
  2. Step 2: Convert to fraction form
    7,180.50/15,228.75 = 15,228.75/x
  3. Step 3: Cross multiply
    7,180.50x = 15,228.75 × 15,228.75
  4. Step 4: Simplify right side
    7,180.50x = 231,914,826.56
  5. Step 5: Solve for x
    x = 231,914,826.56/7,180.50
  6. Step 6: Final answer
    x = 32,297.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.