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Finding the Third Proportional to 3,338.72 and 7,123.99

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Solution

The third proportional to 3,338.72 and 7,123.99 is: 15,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.72 : 7,123.99 = 7,123.99 : x
  2. Step 2: Convert to fraction form
    3,338.72/7,123.99 = 7,123.99/x
  3. Step 3: Cross multiply
    3,338.72x = 7,123.99 × 7,123.99
  4. Step 4: Simplify right side
    3,338.72x = 50,751,264.69
  5. Step 5: Solve for x
    x = 50,751,264.69/3,338.72
  6. Step 6: Final answer
    x = 15,200.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.