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Finding the Third Proportional to 1,722.09 and 3,834.42

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Solution

The third proportional to 1,722.09 and 3,834.42 is: 8,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.09 : 3,834.42 = 3,834.42 : x
  2. Step 2: Convert to fraction form
    1,722.09/3,834.42 = 3,834.42/x
  3. Step 3: Cross multiply
    1,722.09x = 3,834.42 × 3,834.42
  4. Step 4: Simplify right side
    1,722.09x = 14,702,791.12
  5. Step 5: Solve for x
    x = 14,702,791.12/1,722.09
  6. Step 6: Final answer
    x = 8,537.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.