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Finding the Third Proportional to 7,892.44 and 20,690.44

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Solution

The third proportional to 7,892.44 and 20,690.44 is: 54,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.44 : 20,690.44 = 20,690.44 : x
  2. Step 2: Convert to fraction form
    7,892.44/20,690.44 = 20,690.44/x
  3. Step 3: Cross multiply
    7,892.44x = 20,690.44 × 20,690.44
  4. Step 4: Simplify right side
    7,892.44x = 428,094,203.94
  5. Step 5: Solve for x
    x = 428,094,203.94/7,892.44
  6. Step 6: Final answer
    x = 54,241.06

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.