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Finding the Third Proportional to 37,306.50 and 76,767

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Solution

The third proportional to 37,306.50 and 76,767 is: 157,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,306.50 : 76,767 = 76,767 : x
  2. Step 2: Convert to fraction form
    37,306.50/76,767 = 76,767/x
  3. Step 3: Cross multiply
    37,306.50x = 76,767 × 76,767
  4. Step 4: Simplify right side
    37,306.50x = 5,893,172,289
  5. Step 5: Solve for x
    x = 5,893,172,289/37,306.50
  6. Step 6: Final answer
    x = 157,966.37

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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.