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Finding the Third Proportional to 36,270 and 76,890

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Solution

The third proportional to 36,270 and 76,890 is: 163,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,270 : 76,890 = 76,890 : x
  2. Step 2: Convert to fraction form
    36,270/76,890 = 76,890/x
  3. Step 3: Cross multiply
    36,270x = 76,890 × 76,890
  4. Step 4: Simplify right side
    36,270x = 5,912,072,100
  5. Step 5: Solve for x
    x = 5,912,072,100/36,270
  6. Step 6: Final answer
    x = 163,001.71

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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.