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Finding the Third Proportional to 4,193.88 and 8,569.88

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Solution

The third proportional to 4,193.88 and 8,569.88 is: 17,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.88 : 8,569.88 = 8,569.88 : x
  2. Step 2: Convert to fraction form
    4,193.88/8,569.88 = 8,569.88/x
  3. Step 3: Cross multiply
    4,193.88x = 8,569.88 × 8,569.88
  4. Step 4: Simplify right side
    4,193.88x = 73,442,757.52
  5. Step 5: Solve for x
    x = 73,442,757.52/4,193.88
  6. Step 6: Final answer
    x = 17,511.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.