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Finding the Third Proportional to 36,200 and 76,770

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Solution

The third proportional to 36,200 and 76,770 is: 162,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,200 : 76,770 = 76,770 : x
  2. Step 2: Convert to fraction form
    36,200/76,770 = 76,770/x
  3. Step 3: Cross multiply
    36,200x = 76,770 × 76,770
  4. Step 4: Simplify right side
    36,200x = 5,893,632,900
  5. Step 5: Solve for x
    x = 5,893,632,900/36,200
  6. Step 6: Final answer
    x = 162,807.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.