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Finding the Third Proportional to 40,800 and 61,011

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Solution

The third proportional to 40,800 and 61,011 is: 91,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,800 : 61,011 = 61,011 : x
  2. Step 2: Convert to fraction form
    40,800/61,011 = 61,011/x
  3. Step 3: Cross multiply
    40,800x = 61,011 × 61,011
  4. Step 4: Simplify right side
    40,800x = 3,722,342,121
  5. Step 5: Solve for x
    x = 3,722,342,121/40,800
  6. Step 6: Final answer
    x = 91,233.88

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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.