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Finding the Third Proportional to 3,775.99 and 5,834.85

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Solution

The third proportional to 3,775.99 and 5,834.85 is: 9,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.99 : 5,834.85 = 5,834.85 : x
  2. Step 2: Convert to fraction form
    3,775.99/5,834.85 = 5,834.85/x
  3. Step 3: Cross multiply
    3,775.99x = 5,834.85 × 5,834.85
  4. Step 4: Simplify right side
    3,775.99x = 34,045,447.17
  5. Step 5: Solve for x
    x = 34,045,447.17/3,775.99
  6. Step 6: Final answer
    x = 9,016.29

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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.