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Finding the Third Proportional to 1,757.11 and 3,774.73

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Solution

The third proportional to 1,757.11 and 3,774.73 is: 8,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.11 : 3,774.73 = 3,774.73 : x
  2. Step 2: Convert to fraction form
    1,757.11/3,774.73 = 3,774.73/x
  3. Step 3: Cross multiply
    1,757.11x = 3,774.73 × 3,774.73
  4. Step 4: Simplify right side
    1,757.11x = 14,248,560.62
  5. Step 5: Solve for x
    x = 14,248,560.62/1,757.11
  6. Step 6: Final answer
    x = 8,109.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.