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Finding the Third Proportional to 41,055 and 61,881

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Solution

The third proportional to 41,055 and 61,881 is: 93,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,055 : 61,881 = 61,881 : x
  2. Step 2: Convert to fraction form
    41,055/61,881 = 61,881/x
  3. Step 3: Cross multiply
    41,055x = 61,881 × 61,881
  4. Step 4: Simplify right side
    41,055x = 3,829,258,161
  5. Step 5: Solve for x
    x = 3,829,258,161/41,055
  6. Step 6: Final answer
    x = 93,271.42

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Why These Related Problems?

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