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Finding the Third Proportional to 3,834.75 and 5,698.13

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Solution

The third proportional to 3,834.75 and 5,698.13 is: 8,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.75 : 5,698.13 = 5,698.13 : x
  2. Step 2: Convert to fraction form
    3,834.75/5,698.13 = 5,698.13/x
  3. Step 3: Cross multiply
    3,834.75x = 5,698.13 × 5,698.13
  4. Step 4: Simplify right side
    3,834.75x = 32,468,628.52
  5. Step 5: Solve for x
    x = 32,468,628.52/3,834.75
  6. Step 6: Final answer
    x = 8,466.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.