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Finding the Third Proportional to 29,466 and 45,067

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Solution

The third proportional to 29,466 and 45,067 is: 68,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,466 : 45,067 = 45,067 : x
  2. Step 2: Convert to fraction form
    29,466/45,067 = 45,067/x
  3. Step 3: Cross multiply
    29,466x = 45,067 × 45,067
  4. Step 4: Simplify right side
    29,466x = 2,031,034,489
  5. Step 5: Solve for x
    x = 2,031,034,489/29,466
  6. Step 6: Final answer
    x = 68,928.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.