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Finding the Third Proportional to 37,679 and 79,233

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Solution

The third proportional to 37,679 and 79,233 is: 166,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,679 : 79,233 = 79,233 : x
  2. Step 2: Convert to fraction form
    37,679/79,233 = 79,233/x
  3. Step 3: Cross multiply
    37,679x = 79,233 × 79,233
  4. Step 4: Simplify right side
    37,679x = 6,277,868,289
  5. Step 5: Solve for x
    x = 6,277,868,289/37,679
  6. Step 6: Final answer
    x = 166,614.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.