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Finding the Third Proportional to 4,067.34 and 6,144.35

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Solution

The third proportional to 4,067.34 and 6,144.35 is: 9,282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.34 : 6,144.35 = 6,144.35 : x
  2. Step 2: Convert to fraction form
    4,067.34/6,144.35 = 6,144.35/x
  3. Step 3: Cross multiply
    4,067.34x = 6,144.35 × 6,144.35
  4. Step 4: Simplify right side
    4,067.34x = 37,753,065.12
  5. Step 5: Solve for x
    x = 37,753,065.12/4,067.34
  6. Step 6: Final answer
    x = 9,282.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.