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Finding the Third Proportional to 19,117 and 41,163.50

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Solution

The third proportional to 19,117 and 41,163.50 is: 88,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,117 : 41,163.50 = 41,163.50 : x
  2. Step 2: Convert to fraction form
    19,117/41,163.50 = 41,163.50/x
  3. Step 3: Cross multiply
    19,117x = 41,163.50 × 41,163.50
  4. Step 4: Simplify right side
    19,117x = 1,694,433,732.25
  5. Step 5: Solve for x
    x = 1,694,433,732.25/19,117
  6. Step 6: Final answer
    x = 88,634.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.