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Finding the Third Proportional to 33,006 and 69,306

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Solution

The third proportional to 33,006 and 69,306 is: 145,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006 : 69,306 = 69,306 : x
  2. Step 2: Convert to fraction form
    33,006/69,306 = 69,306/x
  3. Step 3: Cross multiply
    33,006x = 69,306 × 69,306
  4. Step 4: Simplify right side
    33,006x = 4,803,321,636
  5. Step 5: Solve for x
    x = 4,803,321,636/33,006
  6. Step 6: Final answer
    x = 145,528.74

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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.