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Finding the Third Proportional to 37,697 and 56,631

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Solution

The third proportional to 37,697 and 56,631 is: 85,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,697 : 56,631 = 56,631 : x
  2. Step 2: Convert to fraction form
    37,697/56,631 = 56,631/x
  3. Step 3: Cross multiply
    37,697x = 56,631 × 56,631
  4. Step 4: Simplify right side
    37,697x = 3,207,070,161
  5. Step 5: Solve for x
    x = 3,207,070,161/37,697
  6. Step 6: Final answer
    x = 85,074.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.