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Finding the Third Proportional to 29,817 and 63,183

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Solution

The third proportional to 29,817 and 63,183 is: 133,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,817 : 63,183 = 63,183 : x
  2. Step 2: Convert to fraction form
    29,817/63,183 = 63,183/x
  3. Step 3: Cross multiply
    29,817x = 63,183 × 63,183
  4. Step 4: Simplify right side
    29,817x = 3,992,091,489
  5. Step 5: Solve for x
    x = 3,992,091,489/29,817
  6. Step 6: Final answer
    x = 133,886.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.