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Finding the Third Proportional to 33,563 and 70,579

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Solution

The third proportional to 33,563 and 70,579 is: 148,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,563 : 70,579 = 70,579 : x
  2. Step 2: Convert to fraction form
    33,563/70,579 = 70,579/x
  3. Step 3: Cross multiply
    33,563x = 70,579 × 70,579
  4. Step 4: Simplify right side
    33,563x = 4,981,395,241
  5. Step 5: Solve for x
    x = 4,981,395,241/33,563
  6. Step 6: Final answer
    x = 148,419.25

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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.