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Finding the Third Proportional to 41,098 and 60,351

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Solution

The third proportional to 41,098 and 60,351 is: 88,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,098 : 60,351 = 60,351 : x
  2. Step 2: Convert to fraction form
    41,098/60,351 = 60,351/x
  3. Step 3: Cross multiply
    41,098x = 60,351 × 60,351
  4. Step 4: Simplify right side
    41,098x = 3,642,243,201
  5. Step 5: Solve for x
    x = 3,642,243,201/41,098
  6. Step 6: Final answer
    x = 88,623.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.