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Finding the Third Proportional to 3,676.32 and 4,063.61

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Solution

The third proportional to 3,676.32 and 4,063.61 is: 4,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.32 : 4,063.61 = 4,063.61 : x
  2. Step 2: Convert to fraction form
    3,676.32/4,063.61 = 4,063.61/x
  3. Step 3: Cross multiply
    3,676.32x = 4,063.61 × 4,063.61
  4. Step 4: Simplify right side
    3,676.32x = 16,512,889.41
  5. Step 5: Solve for x
    x = 16,512,889.41/3,676.32
  6. Step 6: Final answer
    x = 4,491.68

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.