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Finding the Third Proportional to 33,809 and 66,434

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Solution

The third proportional to 33,809 and 66,434 is: 130,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,809 : 66,434 = 66,434 : x
  2. Step 2: Convert to fraction form
    33,809/66,434 = 66,434/x
  3. Step 3: Cross multiply
    33,809x = 66,434 × 66,434
  4. Step 4: Simplify right side
    33,809x = 4,413,476,356
  5. Step 5: Solve for x
    x = 4,413,476,356/33,809
  6. Step 6: Final answer
    x = 130,541.46

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.