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Finding the Third Proportional to 8,512.17 and 13,223.67

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Solution

The third proportional to 8,512.17 and 13,223.67 is: 20,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.17 : 13,223.67 = 13,223.67 : x
  2. Step 2: Convert to fraction form
    8,512.17/13,223.67 = 13,223.67/x
  3. Step 3: Cross multiply
    8,512.17x = 13,223.67 × 13,223.67
  4. Step 4: Simplify right side
    8,512.17x = 174,865,497.86
  5. Step 5: Solve for x
    x = 174,865,497.86/8,512.17
  6. Step 6: Final answer
    x = 20,542.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.