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Finding the Third Proportional to 41,838 and 90,515

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Solution

The third proportional to 41,838 and 90,515 is: 195,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,838 : 90,515 = 90,515 : x
  2. Step 2: Convert to fraction form
    41,838/90,515 = 90,515/x
  3. Step 3: Cross multiply
    41,838x = 90,515 × 90,515
  4. Step 4: Simplify right side
    41,838x = 8,192,965,225
  5. Step 5: Solve for x
    x = 8,192,965,225/41,838
  6. Step 6: Final answer
    x = 195,825.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.