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Finding the Third Proportional to 6,067.13 and 12,468.38

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Solution

The third proportional to 6,067.13 and 12,468.38 is: 25,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.13 : 12,468.38 = 12,468.38 : x
  2. Step 2: Convert to fraction form
    6,067.13/12,468.38 = 12,468.38/x
  3. Step 3: Cross multiply
    6,067.13x = 12,468.38 × 12,468.38
  4. Step 4: Simplify right side
    6,067.13x = 155,460,375.14
  5. Step 5: Solve for x
    x = 155,460,375.14/6,067.13
  6. Step 6: Final answer
    x = 25,623.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.