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Finding the Third Proportional to 1,844.17 and 2,765.55

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Solution

The third proportional to 1,844.17 and 2,765.55 is: 4,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.17 : 2,765.55 = 2,765.55 : x
  2. Step 2: Convert to fraction form
    1,844.17/2,765.55 = 2,765.55/x
  3. Step 3: Cross multiply
    1,844.17x = 2,765.55 × 2,765.55
  4. Step 4: Simplify right side
    1,844.17x = 7,648,260.32
  5. Step 5: Solve for x
    x = 7,648,260.32/1,844.17
  6. Step 6: Final answer
    x = 4,147.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.