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Finding the Third Proportional to 1,662.75 and 3,593.25

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Solution

The third proportional to 1,662.75 and 3,593.25 is: 7,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.75 : 3,593.25 = 3,593.25 : x
  2. Step 2: Convert to fraction form
    1,662.75/3,593.25 = 3,593.25/x
  3. Step 3: Cross multiply
    1,662.75x = 3,593.25 × 3,593.25
  4. Step 4: Simplify right side
    1,662.75x = 12,911,445.56
  5. Step 5: Solve for x
    x = 12,911,445.56/1,662.75
  6. Step 6: Final answer
    x = 7,765.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.