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Finding the Third Proportional to 2,724.19 and 4,443.19

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Solution

The third proportional to 2,724.19 and 4,443.19 is: 7,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.19 : 4,443.19 = 4,443.19 : x
  2. Step 2: Convert to fraction form
    2,724.19/4,443.19 = 4,443.19/x
  3. Step 3: Cross multiply
    2,724.19x = 4,443.19 × 4,443.19
  4. Step 4: Simplify right side
    2,724.19x = 19,741,915.16
  5. Step 5: Solve for x
    x = 19,741,915.16/2,724.19
  6. Step 6: Final answer
    x = 7,246.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.