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Finding the Third Proportional to 10,233 and 19,975

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Solution

The third proportional to 10,233 and 19,975 is: 38,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233 : 19,975 = 19,975 : x
  2. Step 2: Convert to fraction form
    10,233/19,975 = 19,975/x
  3. Step 3: Cross multiply
    10,233x = 19,975 × 19,975
  4. Step 4: Simplify right side
    10,233x = 399,000,625
  5. Step 5: Solve for x
    x = 399,000,625/10,233
  6. Step 6: Final answer
    x = 38,991.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.