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Finding the Third Proportional to 9,067.31 and 18,954.75

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Solution

The third proportional to 9,067.31 and 18,954.75 is: 39,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,067.31 : 18,954.75 = 18,954.75 : x
  2. Step 2: Convert to fraction form
    9,067.31/18,954.75 = 18,954.75/x
  3. Step 3: Cross multiply
    9,067.31x = 18,954.75 × 18,954.75
  4. Step 4: Simplify right side
    9,067.31x = 359,282,547.56
  5. Step 5: Solve for x
    x = 359,282,547.56/9,067.31
  6. Step 6: Final answer
    x = 39,623.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.