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Finding the Third Proportional to 28,786 and 43,626

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Solution

The third proportional to 28,786 and 43,626 is: 66,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,786 : 43,626 = 43,626 : x
  2. Step 2: Convert to fraction form
    28,786/43,626 = 43,626/x
  3. Step 3: Cross multiply
    28,786x = 43,626 × 43,626
  4. Step 4: Simplify right side
    28,786x = 1,903,227,876
  5. Step 5: Solve for x
    x = 1,903,227,876/28,786
  6. Step 6: Final answer
    x = 66,116.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.