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Finding the Third Proportional to 19,504 and 38,035

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Solution

The third proportional to 19,504 and 38,035 is: 74,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504 : 38,035 = 38,035 : x
  2. Step 2: Convert to fraction form
    19,504/38,035 = 38,035/x
  3. Step 3: Cross multiply
    19,504x = 38,035 × 38,035
  4. Step 4: Simplify right side
    19,504x = 1,446,661,225
  5. Step 5: Solve for x
    x = 1,446,661,225/19,504
  6. Step 6: Final answer
    x = 74,172.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.