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Finding the Third Proportional to 19,138 and 39,917

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Solution

The third proportional to 19,138 and 39,917 is: 83,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138 : 39,917 = 39,917 : x
  2. Step 2: Convert to fraction form
    19,138/39,917 = 39,917/x
  3. Step 3: Cross multiply
    19,138x = 39,917 × 39,917
  4. Step 4: Simplify right side
    19,138x = 1,593,366,889
  5. Step 5: Solve for x
    x = 1,593,366,889/19,138
  6. Step 6: Final answer
    x = 83,256.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.