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Finding the Third Proportional to 10,794.94 and 16,454.81

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Solution

The third proportional to 10,794.94 and 16,454.81 is: 25,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.94 : 16,454.81 = 16,454.81 : x
  2. Step 2: Convert to fraction form
    10,794.94/16,454.81 = 16,454.81/x
  3. Step 3: Cross multiply
    10,794.94x = 16,454.81 × 16,454.81
  4. Step 4: Simplify right side
    10,794.94x = 270,760,854.41
  5. Step 5: Solve for x
    x = 270,760,854.41/10,794.94
  6. Step 6: Final answer
    x = 25,082.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.