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Finding the Third Proportional to 4,844.81 and 10,641.94

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Solution

The third proportional to 4,844.81 and 10,641.94 is: 23,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.81 : 10,641.94 = 10,641.94 : x
  2. Step 2: Convert to fraction form
    4,844.81/10,641.94 = 10,641.94/x
  3. Step 3: Cross multiply
    4,844.81x = 10,641.94 × 10,641.94
  4. Step 4: Simplify right side
    4,844.81x = 113,250,833.75
  5. Step 5: Solve for x
    x = 113,250,833.75/4,844.81
  6. Step 6: Final answer
    x = 23,375.69

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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.