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Finding the Third Proportional to 8,205.05 and 17,895.15

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Solution

The third proportional to 8,205.05 and 17,895.15 is: 39,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.05 : 17,895.15 = 17,895.15 : x
  2. Step 2: Convert to fraction form
    8,205.05/17,895.15 = 17,895.15/x
  3. Step 3: Cross multiply
    8,205.05x = 17,895.15 × 17,895.15
  4. Step 4: Simplify right side
    8,205.05x = 320,236,267.70
  5. Step 5: Solve for x
    x = 320,236,267.70/8,205.05
  6. Step 6: Final answer
    x = 39,029.18

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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.