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Finding the Third Proportional to 4,037.34 and 8,563.22

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Solution

The third proportional to 4,037.34 and 8,563.22 is: 18,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037.34 : 8,563.22 = 8,563.22 : x
  2. Step 2: Convert to fraction form
    4,037.34/8,563.22 = 8,563.22/x
  3. Step 3: Cross multiply
    4,037.34x = 8,563.22 × 8,563.22
  4. Step 4: Simplify right side
    4,037.34x = 73,328,715.36
  5. Step 5: Solve for x
    x = 73,328,715.36/4,037.34
  6. Step 6: Final answer
    x = 18,162.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.