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Finding the Third Proportional to 1,232.44 and 2,719.69

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Solution

The third proportional to 1,232.44 and 2,719.69 is: 6,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.44 : 2,719.69 = 2,719.69 : x
  2. Step 2: Convert to fraction form
    1,232.44/2,719.69 = 2,719.69/x
  3. Step 3: Cross multiply
    1,232.44x = 2,719.69 × 2,719.69
  4. Step 4: Simplify right side
    1,232.44x = 7,396,700.10
  5. Step 5: Solve for x
    x = 7,396,700.10/1,232.44
  6. Step 6: Final answer
    x = 6,001.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.