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Finding the Third Proportional to 36,797 and 48,937.50

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Solution

The third proportional to 36,797 and 48,937.50 is: 65,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,797 : 48,937.50 = 48,937.50 : x
  2. Step 2: Convert to fraction form
    36,797/48,937.50 = 48,937.50/x
  3. Step 3: Cross multiply
    36,797x = 48,937.50 × 48,937.50
  4. Step 4: Simplify right side
    36,797x = 2,394,878,906.25
  5. Step 5: Solve for x
    x = 2,394,878,906.25/36,797
  6. Step 6: Final answer
    x = 65,083.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.