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Finding the Third Proportional to 21,696 and 40,800

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Solution

The third proportional to 21,696 and 40,800 is: 76,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696 : 40,800 = 40,800 : x
  2. Step 2: Convert to fraction form
    21,696/40,800 = 40,800/x
  3. Step 3: Cross multiply
    21,696x = 40,800 × 40,800
  4. Step 4: Simplify right side
    21,696x = 1,664,640,000
  5. Step 5: Solve for x
    x = 1,664,640,000/21,696
  6. Step 6: Final answer
    x = 76,725.66

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.