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Finding the Third Proportional to 36,144 and 57,720

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Solution

The third proportional to 36,144 and 57,720 is: 92,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,144 : 57,720 = 57,720 : x
  2. Step 2: Convert to fraction form
    36,144/57,720 = 57,720/x
  3. Step 3: Cross multiply
    36,144x = 57,720 × 57,720
  4. Step 4: Simplify right side
    36,144x = 3,331,598,400
  5. Step 5: Solve for x
    x = 3,331,598,400/36,144
  6. Step 6: Final answer
    x = 92,175.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.