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Finding the Third Proportional to 1,747.04 and 2,751.55

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Solution

The third proportional to 1,747.04 and 2,751.55 is: 4,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.04 : 2,751.55 = 2,751.55 : x
  2. Step 2: Convert to fraction form
    1,747.04/2,751.55 = 2,751.55/x
  3. Step 3: Cross multiply
    1,747.04x = 2,751.55 × 2,751.55
  4. Step 4: Simplify right side
    1,747.04x = 7,571,015.58
  5. Step 5: Solve for x
    x = 7,571,015.58/1,747.04
  6. Step 6: Final answer
    x = 4,333.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.