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Finding the Third Proportional to 2,334.37 and 3,282.64

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Solution

The third proportional to 2,334.37 and 3,282.64 is: 4,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.37 : 3,282.64 = 3,282.64 : x
  2. Step 2: Convert to fraction form
    2,334.37/3,282.64 = 3,282.64/x
  3. Step 3: Cross multiply
    2,334.37x = 3,282.64 × 3,282.64
  4. Step 4: Simplify right side
    2,334.37x = 10,775,697.42
  5. Step 5: Solve for x
    x = 10,775,697.42/2,334.37
  6. Step 6: Final answer
    x = 4,616.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.