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Finding the Third Proportional to 8,563.26 and 13,234.13

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Solution

The third proportional to 8,563.26 and 13,234.13 is: 20,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.26 : 13,234.13 = 13,234.13 : x
  2. Step 2: Convert to fraction form
    8,563.26/13,234.13 = 13,234.13/x
  3. Step 3: Cross multiply
    8,563.26x = 13,234.13 × 13,234.13
  4. Step 4: Simplify right side
    8,563.26x = 175,142,103.29
  5. Step 5: Solve for x
    x = 175,142,103.29/8,563.26
  6. Step 6: Final answer
    x = 20,452.74

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Why These Related Problems?

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