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Finding the Third Proportional to 20,067.75 and 46,666.13

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Solution

The third proportional to 20,067.75 and 46,666.13 is: 108,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.75 : 46,666.13 = 46,666.13 : x
  2. Step 2: Convert to fraction form
    20,067.75/46,666.13 = 46,666.13/x
  3. Step 3: Cross multiply
    20,067.75x = 46,666.13 × 46,666.13
  4. Step 4: Simplify right side
    20,067.75x = 2,177,727,222.52
  5. Step 5: Solve for x
    x = 2,177,727,222.52/20,067.75
  6. Step 6: Final answer
    x = 108,518.75

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.