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Finding the Third Proportional to 36,325 and 48,815

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Solution

The third proportional to 36,325 and 48,815 is: 65,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,325 : 48,815 = 48,815 : x
  2. Step 2: Convert to fraction form
    36,325/48,815 = 48,815/x
  3. Step 3: Cross multiply
    36,325x = 48,815 × 48,815
  4. Step 4: Simplify right side
    36,325x = 2,382,904,225
  5. Step 5: Solve for x
    x = 2,382,904,225/36,325
  6. Step 6: Final answer
    x = 65,599.57

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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.