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Finding the Third Proportional to 41,696 and 62,336

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Solution

The third proportional to 41,696 and 62,336 is: 93,193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,696 : 62,336 = 62,336 : x
  2. Step 2: Convert to fraction form
    41,696/62,336 = 62,336/x
  3. Step 3: Cross multiply
    41,696x = 62,336 × 62,336
  4. Step 4: Simplify right side
    41,696x = 3,885,776,896
  5. Step 5: Solve for x
    x = 3,885,776,896/41,696
  6. Step 6: Final answer
    x = 93,193.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.