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Finding the Third Proportional to 4,272.75 and 5,551.03

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Solution

The third proportional to 4,272.75 and 5,551.03 is: 7,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.75 : 5,551.03 = 5,551.03 : x
  2. Step 2: Convert to fraction form
    4,272.75/5,551.03 = 5,551.03/x
  3. Step 3: Cross multiply
    4,272.75x = 5,551.03 × 5,551.03
  4. Step 4: Simplify right side
    4,272.75x = 30,813,947.94
  5. Step 5: Solve for x
    x = 30,813,947.94/4,272.75
  6. Step 6: Final answer
    x = 7,211.74

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.