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Finding the Third Proportional to 36,284 and 48,822

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Solution

The third proportional to 36,284 and 48,822 is: 65,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284 : 48,822 = 48,822 : x
  2. Step 2: Convert to fraction form
    36,284/48,822 = 48,822/x
  3. Step 3: Cross multiply
    36,284x = 48,822 × 48,822
  4. Step 4: Simplify right side
    36,284x = 2,383,587,684
  5. Step 5: Solve for x
    x = 2,383,587,684/36,284
  6. Step 6: Final answer
    x = 65,692.53

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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.