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Finding the Third Proportional to 19,114 and 41,917

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Solution

The third proportional to 19,114 and 41,917 is: 91,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114 : 41,917 = 41,917 : x
  2. Step 2: Convert to fraction form
    19,114/41,917 = 41,917/x
  3. Step 3: Cross multiply
    19,114x = 41,917 × 41,917
  4. Step 4: Simplify right side
    19,114x = 1,757,034,889
  5. Step 5: Solve for x
    x = 1,757,034,889/19,114
  6. Step 6: Final answer
    x = 91,923.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.