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Finding the Third Proportional to 36,523.50 and 48,771

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Solution

The third proportional to 36,523.50 and 48,771 is: 65,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,523.50 : 48,771 = 48,771 : x
  2. Step 2: Convert to fraction form
    36,523.50/48,771 = 48,771/x
  3. Step 3: Cross multiply
    36,523.50x = 48,771 × 48,771
  4. Step 4: Simplify right side
    36,523.50x = 2,378,610,441
  5. Step 5: Solve for x
    x = 2,378,610,441/36,523.50
  6. Step 6: Final answer
    x = 65,125.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.