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Finding the Third Proportional to 3,922.59 and 6,089.34

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Solution

The third proportional to 3,922.59 and 6,089.34 is: 9,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.59 : 6,089.34 = 6,089.34 : x
  2. Step 2: Convert to fraction form
    3,922.59/6,089.34 = 6,089.34/x
  3. Step 3: Cross multiply
    3,922.59x = 6,089.34 × 6,089.34
  4. Step 4: Simplify right side
    3,922.59x = 37,080,107.31
  5. Step 5: Solve for x
    x = 37,080,107.31/3,922.59
  6. Step 6: Final answer
    x = 9,452.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.