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Finding the Third Proportional to 27,067.50 and 35,923.50

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Solution

The third proportional to 27,067.50 and 35,923.50 is: 47,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,067.50 : 35,923.50 = 35,923.50 : x
  2. Step 2: Convert to fraction form
    27,067.50/35,923.50 = 35,923.50/x
  3. Step 3: Cross multiply
    27,067.50x = 35,923.50 × 35,923.50
  4. Step 4: Simplify right side
    27,067.50x = 1,290,497,852.25
  5. Step 5: Solve for x
    x = 1,290,497,852.25/27,067.50
  6. Step 6: Final answer
    x = 47,677.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.