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Finding the Third Proportional to 37,233 and 79,722

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Solution

The third proportional to 37,233 and 79,722 is: 170,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,233 : 79,722 = 79,722 : x
  2. Step 2: Convert to fraction form
    37,233/79,722 = 79,722/x
  3. Step 3: Cross multiply
    37,233x = 79,722 × 79,722
  4. Step 4: Simplify right side
    37,233x = 6,355,597,284
  5. Step 5: Solve for x
    x = 6,355,597,284/37,233
  6. Step 6: Final answer
    x = 170,697.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.