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Finding the Third Proportional to 36,108.28 and 76,894.31

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Solution

The third proportional to 36,108.28 and 76,894.31 is: 163,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,108.28 : 76,894.31 = 76,894.31 : x
  2. Step 2: Convert to fraction form
    36,108.28/76,894.31 = 76,894.31/x
  3. Step 3: Cross multiply
    36,108.28x = 76,894.31 × 76,894.31
  4. Step 4: Simplify right side
    36,108.28x = 5,912,735,294.85
  5. Step 5: Solve for x
    x = 5,912,735,294.85/36,108.28
  6. Step 6: Final answer
    x = 163,750.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.