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Finding the Third Proportional to 3,834.84 and 4,467.02

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Solution

The third proportional to 3,834.84 and 4,467.02 is: 5,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 4,467.02 = 4,467.02 : x
  2. Step 2: Convert to fraction form
    3,834.84/4,467.02 = 4,467.02/x
  3. Step 3: Cross multiply
    3,834.84x = 4,467.02 × 4,467.02
  4. Step 4: Simplify right side
    3,834.84x = 19,954,298.39
  5. Step 5: Solve for x
    x = 19,954,298.39/3,834.84
  6. Step 6: Final answer
    x = 5,203.42

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.