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Finding the Third Proportional to 3,767.63 and 8,205.19

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Solution

The third proportional to 3,767.63 and 8,205.19 is: 17,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.63 : 8,205.19 = 8,205.19 : x
  2. Step 2: Convert to fraction form
    3,767.63/8,205.19 = 8,205.19/x
  3. Step 3: Cross multiply
    3,767.63x = 8,205.19 × 8,205.19
  4. Step 4: Simplify right side
    3,767.63x = 67,325,101.91
  5. Step 5: Solve for x
    x = 67,325,101.91/3,767.63
  6. Step 6: Final answer
    x = 17,869.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.