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Finding the Third Proportional to 3,553.25 and 5,705.75

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Solution

The third proportional to 3,553.25 and 5,705.75 is: 9,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.25 : 5,705.75 = 5,705.75 : x
  2. Step 2: Convert to fraction form
    3,553.25/5,705.75 = 5,705.75/x
  3. Step 3: Cross multiply
    3,553.25x = 5,705.75 × 5,705.75
  4. Step 4: Simplify right side
    3,553.25x = 32,555,583.06
  5. Step 5: Solve for x
    x = 32,555,583.06/3,553.25
  6. Step 6: Final answer
    x = 9,162.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.