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Finding the Third Proportional to 33,039 and 69,309

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Solution

The third proportional to 33,039 and 69,309 is: 145,395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,039 : 69,309 = 69,309 : x
  2. Step 2: Convert to fraction form
    33,039/69,309 = 69,309/x
  3. Step 3: Cross multiply
    33,039x = 69,309 × 69,309
  4. Step 4: Simplify right side
    33,039x = 4,803,737,481
  5. Step 5: Solve for x
    x = 4,803,737,481/33,039
  6. Step 6: Final answer
    x = 145,395.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.