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Finding the Third Proportional to 51,625 and 72,697

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Solution

The third proportional to 51,625 and 72,697 is: 102,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,625 : 72,697 = 72,697 : x
  2. Step 2: Convert to fraction form
    51,625/72,697 = 72,697/x
  3. Step 3: Cross multiply
    51,625x = 72,697 × 72,697
  4. Step 4: Simplify right side
    51,625x = 5,284,853,809
  5. Step 5: Solve for x
    x = 5,284,853,809/51,625
  6. Step 6: Final answer
    x = 102,370.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.