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Finding the Third Proportional to 33,652 and 69,460

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Solution

The third proportional to 33,652 and 69,460 is: 143,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,652 : 69,460 = 69,460 : x
  2. Step 2: Convert to fraction form
    33,652/69,460 = 69,460/x
  3. Step 3: Cross multiply
    33,652x = 69,460 × 69,460
  4. Step 4: Simplify right side
    33,652x = 4,824,691,600
  5. Step 5: Solve for x
    x = 4,824,691,600/33,652
  6. Step 6: Final answer
    x = 143,370.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.