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Finding the Third Proportional to 1,226.39 and 1,900.55

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Solution

The third proportional to 1,226.39 and 1,900.55 is: 2,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.39 : 1,900.55 = 1,900.55 : x
  2. Step 2: Convert to fraction form
    1,226.39/1,900.55 = 1,900.55/x
  3. Step 3: Cross multiply
    1,226.39x = 1,900.55 × 1,900.55
  4. Step 4: Simplify right side
    1,226.39x = 3,612,078.42
  5. Step 5: Solve for x
    x = 3,612,078.42/1,226.39
  6. Step 6: Final answer
    x = 2,945.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.