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Finding the Third Proportional to 33,086 and 70,789

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Solution

The third proportional to 33,086 and 70,789 is: 151,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,086 : 70,789 = 70,789 : x
  2. Step 2: Convert to fraction form
    33,086/70,789 = 70,789/x
  3. Step 3: Cross multiply
    33,086x = 70,789 × 70,789
  4. Step 4: Simplify right side
    33,086x = 5,011,082,521
  5. Step 5: Solve for x
    x = 5,011,082,521/33,086
  6. Step 6: Final answer
    x = 151,456.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.