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Finding the Third Proportional to 29,452 and 62,873

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Solution

The third proportional to 29,452 and 62,873 is: 134,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,452 : 62,873 = 62,873 : x
  2. Step 2: Convert to fraction form
    29,452/62,873 = 62,873/x
  3. Step 3: Cross multiply
    29,452x = 62,873 × 62,873
  4. Step 4: Simplify right side
    29,452x = 3,953,014,129
  5. Step 5: Solve for x
    x = 3,953,014,129/29,452
  6. Step 6: Final answer
    x = 134,218.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.