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Finding the Third Proportional to 36,462 and 79,782

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Solution

The third proportional to 36,462 and 79,782 is: 174,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,462 : 79,782 = 79,782 : x
  2. Step 2: Convert to fraction form
    36,462/79,782 = 79,782/x
  3. Step 3: Cross multiply
    36,462x = 79,782 × 79,782
  4. Step 4: Simplify right side
    36,462x = 6,365,167,524
  5. Step 5: Solve for x
    x = 6,365,167,524/36,462
  6. Step 6: Final answer
    x = 174,569.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.