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Finding the Third Proportional to 36,449 and 56,226

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Solution

The third proportional to 36,449 and 56,226 is: 86,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,449 : 56,226 = 56,226 : x
  2. Step 2: Convert to fraction form
    36,449/56,226 = 56,226/x
  3. Step 3: Cross multiply
    36,449x = 56,226 × 56,226
  4. Step 4: Simplify right side
    36,449x = 3,161,363,076
  5. Step 5: Solve for x
    x = 3,161,363,076/36,449
  6. Step 6: Final answer
    x = 86,733.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.