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Finding the Third Proportional to 19,660 and 41,944

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Solution

The third proportional to 19,660 and 41,944 is: 89,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,660 : 41,944 = 41,944 : x
  2. Step 2: Convert to fraction form
    19,660/41,944 = 41,944/x
  3. Step 3: Cross multiply
    19,660x = 41,944 × 41,944
  4. Step 4: Simplify right side
    19,660x = 1,759,299,136
  5. Step 5: Solve for x
    x = 1,759,299,136/19,660
  6. Step 6: Final answer
    x = 89,486.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.