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Finding the Third Proportional to 19,704 and 30,504

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Solution

The third proportional to 19,704 and 30,504 is: 47,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704 : 30,504 = 30,504 : x
  2. Step 2: Convert to fraction form
    19,704/30,504 = 30,504/x
  3. Step 3: Cross multiply
    19,704x = 30,504 × 30,504
  4. Step 4: Simplify right side
    19,704x = 930,494,016
  5. Step 5: Solve for x
    x = 930,494,016/19,704
  6. Step 6: Final answer
    x = 47,223.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.