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Finding the Third Proportional to 20,067.75 and 46,463.63

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Solution

The third proportional to 20,067.75 and 46,463.63 is: 107,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.75 : 46,463.63 = 46,463.63 : x
  2. Step 2: Convert to fraction form
    20,067.75/46,463.63 = 46,463.63/x
  3. Step 3: Cross multiply
    20,067.75x = 46,463.63 × 46,463.63
  4. Step 4: Simplify right side
    20,067.75x = 2,158,868,448.14
  5. Step 5: Solve for x
    x = 2,158,868,448.14/20,067.75
  6. Step 6: Final answer
    x = 107,579.00

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.