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Finding the Third Proportional to 41,792 and 87,682

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Solution

The third proportional to 41,792 and 87,682 is: 183,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,792 : 87,682 = 87,682 : x
  2. Step 2: Convert to fraction form
    41,792/87,682 = 87,682/x
  3. Step 3: Cross multiply
    41,792x = 87,682 × 87,682
  4. Step 4: Simplify right side
    41,792x = 7,688,133,124
  5. Step 5: Solve for x
    x = 7,688,133,124/41,792
  6. Step 6: Final answer
    x = 183,961.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.