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Finding the Third Proportional to 3,589.31 and 5,242.22

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Solution

The third proportional to 3,589.31 and 5,242.22 is: 7,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.31 : 5,242.22 = 5,242.22 : x
  2. Step 2: Convert to fraction form
    3,589.31/5,242.22 = 5,242.22/x
  3. Step 3: Cross multiply
    3,589.31x = 5,242.22 × 5,242.22
  4. Step 4: Simplify right side
    3,589.31x = 27,480,857.42
  5. Step 5: Solve for x
    x = 27,480,857.42/3,589.31
  6. Step 6: Final answer
    x = 7,656.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.