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Finding the Third Proportional to 19,138 and 41,454

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Solution

The third proportional to 19,138 and 41,454 is: 89,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138 : 41,454 = 41,454 : x
  2. Step 2: Convert to fraction form
    19,138/41,454 = 41,454/x
  3. Step 3: Cross multiply
    19,138x = 41,454 × 41,454
  4. Step 4: Simplify right side
    19,138x = 1,718,434,116
  5. Step 5: Solve for x
    x = 1,718,434,116/19,138
  6. Step 6: Final answer
    x = 89,791.73

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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.