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Finding the Third Proportional to 2,046.94 and 4,811.53

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Solution

The third proportional to 2,046.94 and 4,811.53 is: 11,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.94 : 4,811.53 = 4,811.53 : x
  2. Step 2: Convert to fraction form
    2,046.94/4,811.53 = 4,811.53/x
  3. Step 3: Cross multiply
    2,046.94x = 4,811.53 × 4,811.53
  4. Step 4: Simplify right side
    2,046.94x = 23,150,832.97
  5. Step 5: Solve for x
    x = 23,150,832.97/2,046.94
  6. Step 6: Final answer
    x = 11,309.99

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.