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Finding the Third Proportional to 19,511.25 and 41,982

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Solution

The third proportional to 19,511.25 and 41,982 is: 90,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,511.25 : 41,982 = 41,982 : x
  2. Step 2: Convert to fraction form
    19,511.25/41,982 = 41,982/x
  3. Step 3: Cross multiply
    19,511.25x = 41,982 × 41,982
  4. Step 4: Simplify right side
    19,511.25x = 1,762,488,324
  5. Step 5: Solve for x
    x = 1,762,488,324/19,511.25
  6. Step 6: Final answer
    x = 90,331.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.