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Finding the Third Proportional to 8,366.88 and 17,596.56

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Solution

The third proportional to 8,366.88 and 17,596.56 is: 37,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366.88 : 17,596.56 = 17,596.56 : x
  2. Step 2: Convert to fraction form
    8,366.88/17,596.56 = 17,596.56/x
  3. Step 3: Cross multiply
    8,366.88x = 17,596.56 × 17,596.56
  4. Step 4: Simplify right side
    8,366.88x = 309,639,011.82
  5. Step 5: Solve for x
    x = 309,639,011.82/8,366.88
  6. Step 6: Final answer
    x = 37,007.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.