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Finding the Third Proportional to 36,831 and 56,682

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Solution

The third proportional to 36,831 and 56,682 is: 87,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,831 : 56,682 = 56,682 : x
  2. Step 2: Convert to fraction form
    36,831/56,682 = 56,682/x
  3. Step 3: Cross multiply
    36,831x = 56,682 × 56,682
  4. Step 4: Simplify right side
    36,831x = 3,212,849,124
  5. Step 5: Solve for x
    x = 3,212,849,124/36,831
  6. Step 6: Final answer
    x = 87,232.20

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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.