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Finding the Third Proportional to 37,967 and 83,247

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Solution

The third proportional to 37,967 and 83,247 is: 182,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,967 : 83,247 = 83,247 : x
  2. Step 2: Convert to fraction form
    37,967/83,247 = 83,247/x
  3. Step 3: Cross multiply
    37,967x = 83,247 × 83,247
  4. Step 4: Simplify right side
    37,967x = 6,930,063,009
  5. Step 5: Solve for x
    x = 6,930,063,009/37,967
  6. Step 6: Final answer
    x = 182,528.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.