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Finding the Third Proportional to 33,593 and 70,426

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Solution

The third proportional to 33,593 and 70,426 is: 147,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,593 : 70,426 = 70,426 : x
  2. Step 2: Convert to fraction form
    33,593/70,426 = 70,426/x
  3. Step 3: Cross multiply
    33,593x = 70,426 × 70,426
  4. Step 4: Simplify right side
    33,593x = 4,959,821,476
  5. Step 5: Solve for x
    x = 4,959,821,476/33,593
  6. Step 6: Final answer
    x = 147,644.49

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