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Finding the Third Proportional to 8,908.45 and 19,197.84

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Solution

The third proportional to 8,908.45 and 19,197.84 is: 41,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,908.45 : 19,197.84 = 19,197.84 : x
  2. Step 2: Convert to fraction form
    8,908.45/19,197.84 = 19,197.84/x
  3. Step 3: Cross multiply
    8,908.45x = 19,197.84 × 19,197.84
  4. Step 4: Simplify right side
    8,908.45x = 368,557,204.65
  5. Step 5: Solve for x
    x = 368,557,204.65/8,908.45
  6. Step 6: Final answer
    x = 41,371.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.