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Finding the Third Proportional to 36,226 and 56,451

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Solution

The third proportional to 36,226 and 56,451 is: 87,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,226 : 56,451 = 56,451 : x
  2. Step 2: Convert to fraction form
    36,226/56,451 = 56,451/x
  3. Step 3: Cross multiply
    36,226x = 56,451 × 56,451
  4. Step 4: Simplify right side
    36,226x = 3,186,715,401
  5. Step 5: Solve for x
    x = 3,186,715,401/36,226
  6. Step 6: Final answer
    x = 87,967.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.