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Finding the Third Proportional to 9,046.62 and 19,933.80

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Solution

The third proportional to 9,046.62 and 19,933.80 is: 43,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.62 : 19,933.80 = 19,933.80 : x
  2. Step 2: Convert to fraction form
    9,046.62/19,933.80 = 19,933.80/x
  3. Step 3: Cross multiply
    9,046.62x = 19,933.80 × 19,933.80
  4. Step 4: Simplify right side
    9,046.62x = 397,356,569.32
  5. Step 5: Solve for x
    x = 397,356,569.32/9,046.62
  6. Step 6: Final answer
    x = 43,923.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.