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Finding the Third Proportional to 41,096.50 and 61,881

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Solution

The third proportional to 41,096.50 and 61,881 is: 93,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,096.50 : 61,881 = 61,881 : x
  2. Step 2: Convert to fraction form
    41,096.50/61,881 = 61,881/x
  3. Step 3: Cross multiply
    41,096.50x = 61,881 × 61,881
  4. Step 4: Simplify right side
    41,096.50x = 3,829,258,161
  5. Step 5: Solve for x
    x = 3,829,258,161/41,096.50
  6. Step 6: Final answer
    x = 93,177.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.