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Finding the Third Proportional to 36,212.50 and 76,772

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Solution

The third proportional to 36,212.50 and 76,772 is: 162,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,212.50 : 76,772 = 76,772 : x
  2. Step 2: Convert to fraction form
    36,212.50/76,772 = 76,772/x
  3. Step 3: Cross multiply
    36,212.50x = 76,772 × 76,772
  4. Step 4: Simplify right side
    36,212.50x = 5,893,939,984
  5. Step 5: Solve for x
    x = 5,893,939,984/36,212.50
  6. Step 6: Final answer
    x = 162,759.82

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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.