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Finding the Third Proportional to 19,203 and 39,939

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Solution

The third proportional to 19,203 and 39,939 is: 83,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,203 : 39,939 = 39,939 : x
  2. Step 2: Convert to fraction form
    19,203/39,939 = 39,939/x
  3. Step 3: Cross multiply
    19,203x = 39,939 × 39,939
  4. Step 4: Simplify right side
    19,203x = 1,595,123,721
  5. Step 5: Solve for x
    x = 1,595,123,721/19,203
  6. Step 6: Final answer
    x = 83,066.38

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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.