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Finding the Third Proportional to 36,003 and 48,467

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Solution

The third proportional to 36,003 and 48,467 is: 65,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,003 : 48,467 = 48,467 : x
  2. Step 2: Convert to fraction form
    36,003/48,467 = 48,467/x
  3. Step 3: Cross multiply
    36,003x = 48,467 × 48,467
  4. Step 4: Simplify right side
    36,003x = 2,349,050,089
  5. Step 5: Solve for x
    x = 2,349,050,089/36,003
  6. Step 6: Final answer
    x = 65,245.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.