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Finding the Third Proportional to 3,247.59 and 7,589.32

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Solution

The third proportional to 3,247.59 and 7,589.32 is: 17,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.59 : 7,589.32 = 7,589.32 : x
  2. Step 2: Convert to fraction form
    3,247.59/7,589.32 = 7,589.32/x
  3. Step 3: Cross multiply
    3,247.59x = 7,589.32 × 7,589.32
  4. Step 4: Simplify right side
    3,247.59x = 57,597,782.81
  5. Step 5: Solve for x
    x = 57,597,782.81/3,247.59
  6. Step 6: Final answer
    x = 17,735.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.