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Finding the Third Proportional to 20,797 and 31,967

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Solution

The third proportional to 20,797 and 31,967 is: 49,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797 : 31,967 = 31,967 : x
  2. Step 2: Convert to fraction form
    20,797/31,967 = 31,967/x
  3. Step 3: Cross multiply
    20,797x = 31,967 × 31,967
  4. Step 4: Simplify right side
    20,797x = 1,021,889,089
  5. Step 5: Solve for x
    x = 1,021,889,089/20,797
  6. Step 6: Final answer
    x = 49,136.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.