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Finding the Third Proportional to 19,370.25 and 41,616

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Solution

The third proportional to 19,370.25 and 41,616 is: 89,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,370.25 : 41,616 = 41,616 : x
  2. Step 2: Convert to fraction form
    19,370.25/41,616 = 41,616/x
  3. Step 3: Cross multiply
    19,370.25x = 41,616 × 41,616
  4. Step 4: Simplify right side
    19,370.25x = 1,731,891,456
  5. Step 5: Solve for x
    x = 1,731,891,456/19,370.25
  6. Step 6: Final answer
    x = 89,409.87

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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.