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Finding the Third Proportional to 6,233.06 and 13,504.57

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Solution

The third proportional to 6,233.06 and 13,504.57 is: 29,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.06 : 13,504.57 = 13,504.57 : x
  2. Step 2: Convert to fraction form
    6,233.06/13,504.57 = 13,504.57/x
  3. Step 3: Cross multiply
    6,233.06x = 13,504.57 × 13,504.57
  4. Step 4: Simplify right side
    6,233.06x = 182,373,419.33
  5. Step 5: Solve for x
    x = 182,373,419.33/6,233.06
  6. Step 6: Final answer
    x = 29,259.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.