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Finding the Third Proportional to 1,540.69 and 2,313.56

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Solution

The third proportional to 1,540.69 and 2,313.56 is: 3,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.69 : 2,313.56 = 2,313.56 : x
  2. Step 2: Convert to fraction form
    1,540.69/2,313.56 = 2,313.56/x
  3. Step 3: Cross multiply
    1,540.69x = 2,313.56 × 2,313.56
  4. Step 4: Simplify right side
    1,540.69x = 5,352,571.44
  5. Step 5: Solve for x
    x = 5,352,571.44/1,540.69
  6. Step 6: Final answer
    x = 3,474.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.