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Finding the Third Proportional to 19,350 and 41,991

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Solution

The third proportional to 19,350 and 41,991 is: 91,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,350 : 41,991 = 41,991 : x
  2. Step 2: Convert to fraction form
    19,350/41,991 = 41,991/x
  3. Step 3: Cross multiply
    19,350x = 41,991 × 41,991
  4. Step 4: Simplify right side
    19,350x = 1,763,244,081
  5. Step 5: Solve for x
    x = 1,763,244,081/19,350
  6. Step 6: Final answer
    x = 91,123.73

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Why These Related Problems?

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