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Finding the Third Proportional to 9,174.75 and 13,782.75

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Solution

The third proportional to 9,174.75 and 13,782.75 is: 20,705.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.75 : 13,782.75 = 13,782.75 : x
  2. Step 2: Convert to fraction form
    9,174.75/13,782.75 = 13,782.75/x
  3. Step 3: Cross multiply
    9,174.75x = 13,782.75 × 13,782.75
  4. Step 4: Simplify right side
    9,174.75x = 189,964,197.56
  5. Step 5: Solve for x
    x = 189,964,197.56/9,174.75
  6. Step 6: Final answer
    x = 20,705.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.