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Finding the Third Proportional to 36,220 and 55,738

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Solution

The third proportional to 36,220 and 55,738 is: 85,773.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,220 : 55,738 = 55,738 : x
  2. Step 2: Convert to fraction form
    36,220/55,738 = 55,738/x
  3. Step 3: Cross multiply
    36,220x = 55,738 × 55,738
  4. Step 4: Simplify right side
    36,220x = 3,106,724,644
  5. Step 5: Solve for x
    x = 3,106,724,644/36,220
  6. Step 6: Final answer
    x = 85,773.73

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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.