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Finding the Third Proportional to 7,418.14 and 10,067.89

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Solution

The third proportional to 7,418.14 and 10,067.89 is: 13,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,418.14 : 10,067.89 = 10,067.89 : x
  2. Step 2: Convert to fraction form
    7,418.14/10,067.89 = 10,067.89/x
  3. Step 3: Cross multiply
    7,418.14x = 10,067.89 × 10,067.89
  4. Step 4: Simplify right side
    7,418.14x = 101,362,382.31
  5. Step 5: Solve for x
    x = 101,362,382.31/7,418.14
  6. Step 6: Final answer
    x = 13,664.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.