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Finding the Third Proportional to 29,646 and 69,982

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Solution

The third proportional to 29,646 and 69,982 is: 165,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646 : 69,982 = 69,982 : x
  2. Step 2: Convert to fraction form
    29,646/69,982 = 69,982/x
  3. Step 3: Cross multiply
    29,646x = 69,982 × 69,982
  4. Step 4: Simplify right side
    29,646x = 4,897,480,324
  5. Step 5: Solve for x
    x = 4,897,480,324/29,646
  6. Step 6: Final answer
    x = 165,198.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.