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Finding the Third Proportional to 1,519.75 and 3,325.25

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Solution

The third proportional to 1,519.75 and 3,325.25 is: 7,275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.75 : 3,325.25 = 3,325.25 : x
  2. Step 2: Convert to fraction form
    1,519.75/3,325.25 = 3,325.25/x
  3. Step 3: Cross multiply
    1,519.75x = 3,325.25 × 3,325.25
  4. Step 4: Simplify right side
    1,519.75x = 11,057,287.56
  5. Step 5: Solve for x
    x = 11,057,287.56/1,519.75
  6. Step 6: Final answer
    x = 7,275.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.