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Finding the Third Proportional to 8,524.55 and 18,524.67

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Solution

The third proportional to 8,524.55 and 18,524.67 is: 40,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.55 : 18,524.67 = 18,524.67 : x
  2. Step 2: Convert to fraction form
    8,524.55/18,524.67 = 18,524.67/x
  3. Step 3: Cross multiply
    8,524.55x = 18,524.67 × 18,524.67
  4. Step 4: Simplify right side
    8,524.55x = 343,163,468.08
  5. Step 5: Solve for x
    x = 343,163,468.08/8,524.55
  6. Step 6: Final answer
    x = 40,255.92

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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.