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Finding the Third Proportional to 8,205.28 and 17,895.56

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Solution

The third proportional to 8,205.28 and 17,895.56 is: 39,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.28 : 17,895.56 = 17,895.56 : x
  2. Step 2: Convert to fraction form
    8,205.28/17,895.56 = 17,895.56/x
  3. Step 3: Cross multiply
    8,205.28x = 17,895.56 × 17,895.56
  4. Step 4: Simplify right side
    8,205.28x = 320,251,157.19
  5. Step 5: Solve for x
    x = 320,251,157.19/8,205.28
  6. Step 6: Final answer
    x = 39,029.88

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