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Finding the Third Proportional to 29,198 and 41,610

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Solution

The third proportional to 29,198 and 41,610 is: 59,298.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,198 : 41,610 = 41,610 : x
  2. Step 2: Convert to fraction form
    29,198/41,610 = 41,610/x
  3. Step 3: Cross multiply
    29,198x = 41,610 × 41,610
  4. Step 4: Simplify right side
    29,198x = 1,731,392,100
  5. Step 5: Solve for x
    x = 1,731,392,100/29,198
  6. Step 6: Final answer
    x = 59,298.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.