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Finding the Third Proportional to 5,729.75 and 12,216.25

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Solution

The third proportional to 5,729.75 and 12,216.25 is: 26,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.75 : 12,216.25 = 12,216.25 : x
  2. Step 2: Convert to fraction form
    5,729.75/12,216.25 = 12,216.25/x
  3. Step 3: Cross multiply
    5,729.75x = 12,216.25 × 12,216.25
  4. Step 4: Simplify right side
    5,729.75x = 149,236,764.06
  5. Step 5: Solve for x
    x = 149,236,764.06/5,729.75
  6. Step 6: Final answer
    x = 26,045.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.