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Finding the Third Proportional to 9,046.83 and 19,934.16

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Solution

The third proportional to 9,046.83 and 19,934.16 is: 43,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.83 : 19,934.16 = 19,934.16 : x
  2. Step 2: Convert to fraction form
    9,046.83/19,934.16 = 19,934.16/x
  3. Step 3: Cross multiply
    9,046.83x = 19,934.16 × 19,934.16
  4. Step 4: Simplify right side
    9,046.83x = 397,370,585.40
  5. Step 5: Solve for x
    x = 397,370,585.40/9,046.83
  6. Step 6: Final answer
    x = 43,923.75

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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.