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Finding the Third Proportional to 47,618 and 76,467

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Solution

The third proportional to 47,618 and 76,467 is: 122,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,618 : 76,467 = 76,467 : x
  2. Step 2: Convert to fraction form
    47,618/76,467 = 76,467/x
  3. Step 3: Cross multiply
    47,618x = 76,467 × 76,467
  4. Step 4: Simplify right side
    47,618x = 5,847,202,089
  5. Step 5: Solve for x
    x = 5,847,202,089/47,618
  6. Step 6: Final answer
    x = 122,793.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.