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Finding the Third Proportional to 33,807 and 69,978

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Solution

The third proportional to 33,807 and 69,978 is: 144,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,807 : 69,978 = 69,978 : x
  2. Step 2: Convert to fraction form
    33,807/69,978 = 69,978/x
  3. Step 3: Cross multiply
    33,807x = 69,978 × 69,978
  4. Step 4: Simplify right side
    33,807x = 4,896,920,484
  5. Step 5: Solve for x
    x = 4,896,920,484/33,807
  6. Step 6: Final answer
    x = 144,849.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.