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Finding the Third Proportional to 26,737 and 30,625

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Solution

The third proportional to 26,737 and 30,625 is: 35,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,737 : 30,625 = 30,625 : x
  2. Step 2: Convert to fraction form
    26,737/30,625 = 30,625/x
  3. Step 3: Cross multiply
    26,737x = 30,625 × 30,625
  4. Step 4: Simplify right side
    26,737x = 937,890,625
  5. Step 5: Solve for x
    x = 937,890,625/26,737
  6. Step 6: Final answer
    x = 35,078.38

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.