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Finding the Third Proportional to 7,682.34 and 11,524.78

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Solution

The third proportional to 7,682.34 and 11,524.78 is: 17,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.34 : 11,524.78 = 11,524.78 : x
  2. Step 2: Convert to fraction form
    7,682.34/11,524.78 = 11,524.78/x
  3. Step 3: Cross multiply
    7,682.34x = 11,524.78 × 11,524.78
  4. Step 4: Simplify right side
    7,682.34x = 132,820,582.86
  5. Step 5: Solve for x
    x = 132,820,582.86/7,682.34
  6. Step 6: Final answer
    x = 17,289.07

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