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Finding the Third Proportional to 36,256 and 56,027

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Solution

The third proportional to 36,256 and 56,027 is: 86,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,256 : 56,027 = 56,027 : x
  2. Step 2: Convert to fraction form
    36,256/56,027 = 56,027/x
  3. Step 3: Cross multiply
    36,256x = 56,027 × 56,027
  4. Step 4: Simplify right side
    36,256x = 3,139,024,729
  5. Step 5: Solve for x
    x = 3,139,024,729/36,256
  6. Step 6: Final answer
    x = 86,579.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.