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Finding the Third Proportional to 19,380.50 and 41,859

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Solution

The third proportional to 19,380.50 and 41,859 is: 90,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,380.50 : 41,859 = 41,859 : x
  2. Step 2: Convert to fraction form
    19,380.50/41,859 = 41,859/x
  3. Step 3: Cross multiply
    19,380.50x = 41,859 × 41,859
  4. Step 4: Simplify right side
    19,380.50x = 1,752,175,881
  5. Step 5: Solve for x
    x = 1,752,175,881/19,380.50
  6. Step 6: Final answer
    x = 90,409.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.