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Finding the Third Proportional to 10,138 and 19,796

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Solution

The third proportional to 10,138 and 19,796 is: 38,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138 : 19,796 = 19,796 : x
  2. Step 2: Convert to fraction form
    10,138/19,796 = 19,796/x
  3. Step 3: Cross multiply
    10,138x = 19,796 × 19,796
  4. Step 4: Simplify right side
    10,138x = 391,881,616
  5. Step 5: Solve for x
    x = 391,881,616/10,138
  6. Step 6: Final answer
    x = 38,654.73

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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.