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Finding the Third Proportional to 7,236.42 and 10,824.26

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Solution

The third proportional to 7,236.42 and 10,824.26 is: 16,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,236.42 : 10,824.26 = 10,824.26 : x
  2. Step 2: Convert to fraction form
    7,236.42/10,824.26 = 10,824.26/x
  3. Step 3: Cross multiply
    7,236.42x = 10,824.26 × 10,824.26
  4. Step 4: Simplify right side
    7,236.42x = 117,164,557.19
  5. Step 5: Solve for x
    x = 117,164,557.19/7,236.42
  6. Step 6: Final answer
    x = 16,190.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.