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Finding the Third Proportional to 3,353.25 and 5,317.75

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Solution

The third proportional to 3,353.25 and 5,317.75 is: 8,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.25 : 5,317.75 = 5,317.75 : x
  2. Step 2: Convert to fraction form
    3,353.25/5,317.75 = 5,317.75/x
  3. Step 3: Cross multiply
    3,353.25x = 5,317.75 × 5,317.75
  4. Step 4: Simplify right side
    3,353.25x = 28,278,465.06
  5. Step 5: Solve for x
    x = 28,278,465.06/3,353.25
  6. Step 6: Final answer
    x = 8,433.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.