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Finding the Third Proportional to 37,296 and 77,568

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Solution

The third proportional to 37,296 and 77,568 is: 161,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,296 : 77,568 = 77,568 : x
  2. Step 2: Convert to fraction form
    37,296/77,568 = 77,568/x
  3. Step 3: Cross multiply
    37,296x = 77,568 × 77,568
  4. Step 4: Simplify right side
    37,296x = 6,016,794,624
  5. Step 5: Solve for x
    x = 6,016,794,624/37,296
  6. Step 6: Final answer
    x = 161,325.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.