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Finding the Third Proportional to 4,098.94 and 8,891.44

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Solution

The third proportional to 4,098.94 and 8,891.44 is: 19,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.94 : 8,891.44 = 8,891.44 : x
  2. Step 2: Convert to fraction form
    4,098.94/8,891.44 = 8,891.44/x
  3. Step 3: Cross multiply
    4,098.94x = 8,891.44 × 8,891.44
  4. Step 4: Simplify right side
    4,098.94x = 79,057,660.82
  5. Step 5: Solve for x
    x = 79,057,660.82/4,098.94
  6. Step 6: Final answer
    x = 19,287.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.