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Finding the Third Proportional to 19,097.25 and 41,961

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Solution

The third proportional to 19,097.25 and 41,961 is: 92,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097.25 : 41,961 = 41,961 : x
  2. Step 2: Convert to fraction form
    19,097.25/41,961 = 41,961/x
  3. Step 3: Cross multiply
    19,097.25x = 41,961 × 41,961
  4. Step 4: Simplify right side
    19,097.25x = 1,760,725,521
  5. Step 5: Solve for x
    x = 1,760,725,521/19,097.25
  6. Step 6: Final answer
    x = 92,197.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.