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Finding the Third Proportional to 3,651.75 and 5,722.31

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Solution

The third proportional to 3,651.75 and 5,722.31 is: 8,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.75 : 5,722.31 = 5,722.31 : x
  2. Step 2: Convert to fraction form
    3,651.75/5,722.31 = 5,722.31/x
  3. Step 3: Cross multiply
    3,651.75x = 5,722.31 × 5,722.31
  4. Step 4: Simplify right side
    3,651.75x = 32,744,860.35
  5. Step 5: Solve for x
    x = 32,744,860.35/3,651.75
  6. Step 6: Final answer
    x = 8,966.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.