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Finding the Third Proportional to 30,789 and 67,626

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Solution

The third proportional to 30,789 and 67,626 is: 148,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789 : 67,626 = 67,626 : x
  2. Step 2: Convert to fraction form
    30,789/67,626 = 67,626/x
  3. Step 3: Cross multiply
    30,789x = 67,626 × 67,626
  4. Step 4: Simplify right side
    30,789x = 4,573,275,876
  5. Step 5: Solve for x
    x = 4,573,275,876/30,789
  6. Step 6: Final answer
    x = 148,536.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.