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Finding the Third Proportional to 41,098 and 61,836

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Solution

The third proportional to 41,098 and 61,836 is: 93,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,098 : 61,836 = 61,836 : x
  2. Step 2: Convert to fraction form
    41,098/61,836 = 61,836/x
  3. Step 3: Cross multiply
    41,098x = 61,836 × 61,836
  4. Step 4: Simplify right side
    41,098x = 3,823,690,896
  5. Step 5: Solve for x
    x = 3,823,690,896/41,098
  6. Step 6: Final answer
    x = 93,038.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.