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Finding the Third Proportional to 7,747.31 and 16,782.75

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Solution

The third proportional to 7,747.31 and 16,782.75 is: 36,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.31 : 16,782.75 = 16,782.75 : x
  2. Step 2: Convert to fraction form
    7,747.31/16,782.75 = 16,782.75/x
  3. Step 3: Cross multiply
    7,747.31x = 16,782.75 × 16,782.75
  4. Step 4: Simplify right side
    7,747.31x = 281,660,697.56
  5. Step 5: Solve for x
    x = 281,660,697.56/7,747.31
  6. Step 6: Final answer
    x = 36,355.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.