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Finding the Third Proportional to 36,669 and 58,286

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Solution

The third proportional to 36,669 and 58,286 is: 92,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,669 : 58,286 = 58,286 : x
  2. Step 2: Convert to fraction form
    36,669/58,286 = 58,286/x
  3. Step 3: Cross multiply
    36,669x = 58,286 × 58,286
  4. Step 4: Simplify right side
    36,669x = 3,397,257,796
  5. Step 5: Solve for x
    x = 3,397,257,796/36,669
  6. Step 6: Final answer
    x = 92,646.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.