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Finding the Third Proportional to 36,000 and 53,856

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Solution

The third proportional to 36,000 and 53,856 is: 80,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000 : 53,856 = 53,856 : x
  2. Step 2: Convert to fraction form
    36,000/53,856 = 53,856/x
  3. Step 3: Cross multiply
    36,000x = 53,856 × 53,856
  4. Step 4: Simplify right side
    36,000x = 2,900,468,736
  5. Step 5: Solve for x
    x = 2,900,468,736/36,000
  6. Step 6: Final answer
    x = 80,568.58

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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.