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Finding the Third Proportional to 33,010 and 69,934

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Solution

The third proportional to 33,010 and 69,934 is: 148,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,010 : 69,934 = 69,934 : x
  2. Step 2: Convert to fraction form
    33,010/69,934 = 69,934/x
  3. Step 3: Cross multiply
    33,010x = 69,934 × 69,934
  4. Step 4: Simplify right side
    33,010x = 4,890,764,356
  5. Step 5: Solve for x
    x = 4,890,764,356/33,010
  6. Step 6: Final answer
    x = 148,160.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.