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Finding the Third Proportional to 40,467 and 61,247

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Solution

The third proportional to 40,467 and 61,247 is: 92,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,467 : 61,247 = 61,247 : x
  2. Step 2: Convert to fraction form
    40,467/61,247 = 61,247/x
  3. Step 3: Cross multiply
    40,467x = 61,247 × 61,247
  4. Step 4: Simplify right side
    40,467x = 3,751,195,009
  5. Step 5: Solve for x
    x = 3,751,195,009/40,467
  6. Step 6: Final answer
    x = 92,697.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.