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Finding the Third Proportional to 29,241 and 62,997.75

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Solution

The third proportional to 29,241 and 62,997.75 is: 135,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,241 : 62,997.75 = 62,997.75 : x
  2. Step 2: Convert to fraction form
    29,241/62,997.75 = 62,997.75/x
  3. Step 3: Cross multiply
    29,241x = 62,997.75 × 62,997.75
  4. Step 4: Simplify right side
    29,241x = 3,968,716,505.06
  5. Step 5: Solve for x
    x = 3,968,716,505.06/29,241
  6. Step 6: Final answer
    x = 135,724.38

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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.