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Finding the Third Proportional to 36,024 and 55,189

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Solution

The third proportional to 36,024 and 55,189 is: 84,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024 : 55,189 = 55,189 : x
  2. Step 2: Convert to fraction form
    36,024/55,189 = 55,189/x
  3. Step 3: Cross multiply
    36,024x = 55,189 × 55,189
  4. Step 4: Simplify right side
    36,024x = 3,045,825,721
  5. Step 5: Solve for x
    x = 3,045,825,721/36,024
  6. Step 6: Final answer
    x = 84,549.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.