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Finding the Third Proportional to 29,936 and 62,971

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Solution

The third proportional to 29,936 and 62,971 is: 132,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,936 : 62,971 = 62,971 : x
  2. Step 2: Convert to fraction form
    29,936/62,971 = 62,971/x
  3. Step 3: Cross multiply
    29,936x = 62,971 × 62,971
  4. Step 4: Simplify right side
    29,936x = 3,965,346,841
  5. Step 5: Solve for x
    x = 3,965,346,841/29,936
  6. Step 6: Final answer
    x = 132,460.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.