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Finding the Third Proportional to 10,704.02 and 15,213.92

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Solution

The third proportional to 10,704.02 and 15,213.92 is: 21,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.02 : 15,213.92 = 15,213.92 : x
  2. Step 2: Convert to fraction form
    10,704.02/15,213.92 = 15,213.92/x
  3. Step 3: Cross multiply
    10,704.02x = 15,213.92 × 15,213.92
  4. Step 4: Simplify right side
    10,704.02x = 231,463,359.39
  5. Step 5: Solve for x
    x = 231,463,359.39/10,704.02
  6. Step 6: Final answer
    x = 21,623.96

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.