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Finding the Third Proportional to 19,186 and 41,930

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Solution

The third proportional to 19,186 and 41,930 is: 91,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,186 : 41,930 = 41,930 : x
  2. Step 2: Convert to fraction form
    19,186/41,930 = 41,930/x
  3. Step 3: Cross multiply
    19,186x = 41,930 × 41,930
  4. Step 4: Simplify right side
    19,186x = 1,758,124,900
  5. Step 5: Solve for x
    x = 1,758,124,900/19,186
  6. Step 6: Final answer
    x = 91,635.82

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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.