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Finding the Third Proportional to 36,825 and 75,828

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Solution

The third proportional to 36,825 and 75,828 is: 156,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,825 : 75,828 = 75,828 : x
  2. Step 2: Convert to fraction form
    36,825/75,828 = 75,828/x
  3. Step 3: Cross multiply
    36,825x = 75,828 × 75,828
  4. Step 4: Simplify right side
    36,825x = 5,749,885,584
  5. Step 5: Solve for x
    x = 5,749,885,584/36,825
  6. Step 6: Final answer
    x = 156,140.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.