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Finding the Third Proportional to 41,639 and 60,190

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Solution

The third proportional to 41,639 and 60,190 is: 87,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,639 : 60,190 = 60,190 : x
  2. Step 2: Convert to fraction form
    41,639/60,190 = 60,190/x
  3. Step 3: Cross multiply
    41,639x = 60,190 × 60,190
  4. Step 4: Simplify right side
    41,639x = 3,622,836,100
  5. Step 5: Solve for x
    x = 3,622,836,100/41,639
  6. Step 6: Final answer
    x = 87,005.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.