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Finding the Third Proportional to 36,118 and 54,288

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Solution

The third proportional to 36,118 and 54,288 is: 81,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,118 : 54,288 = 54,288 : x
  2. Step 2: Convert to fraction form
    36,118/54,288 = 54,288/x
  3. Step 3: Cross multiply
    36,118x = 54,288 × 54,288
  4. Step 4: Simplify right side
    36,118x = 2,947,186,944
  5. Step 5: Solve for x
    x = 2,947,186,944/36,118
  6. Step 6: Final answer
    x = 81,598.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.