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Finding the Third Proportional to 19,968 and 40,800

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Solution

The third proportional to 19,968 and 40,800 is: 83,365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968 : 40,800 = 40,800 : x
  2. Step 2: Convert to fraction form
    19,968/40,800 = 40,800/x
  3. Step 3: Cross multiply
    19,968x = 40,800 × 40,800
  4. Step 4: Simplify right side
    19,968x = 1,664,640,000
  5. Step 5: Solve for x
    x = 1,664,640,000/19,968
  6. Step 6: Final answer
    x = 83,365.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.