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Finding the Third Proportional to 3,889.90 and 5,834.85

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Solution

The third proportional to 3,889.90 and 5,834.85 is: 8,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.90 : 5,834.85 = 5,834.85 : x
  2. Step 2: Convert to fraction form
    3,889.90/5,834.85 = 5,834.85/x
  3. Step 3: Cross multiply
    3,889.90x = 5,834.85 × 5,834.85
  4. Step 4: Simplify right side
    3,889.90x = 34,045,447.17
  5. Step 5: Solve for x
    x = 34,045,447.17/3,889.90
  6. Step 6: Final answer
    x = 8,752.27

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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.