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Finding the Third Proportional to 1,232.59 and 2,724.67

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Solution

The third proportional to 1,232.59 and 2,724.67 is: 6,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.59 : 2,724.67 = 2,724.67 : x
  2. Step 2: Convert to fraction form
    1,232.59/2,724.67 = 2,724.67/x
  3. Step 3: Cross multiply
    1,232.59x = 2,724.67 × 2,724.67
  4. Step 4: Simplify right side
    1,232.59x = 7,423,843.48
  5. Step 5: Solve for x
    x = 7,423,843.48/1,232.59
  6. Step 6: Final answer
    x = 6,022.96

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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.