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Finding the Third Proportional to 3,893.06 and 8,398.69

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Solution

The third proportional to 3,893.06 and 8,398.69 is: 18,118.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.06 : 8,398.69 = 8,398.69 : x
  2. Step 2: Convert to fraction form
    3,893.06/8,398.69 = 8,398.69/x
  3. Step 3: Cross multiply
    3,893.06x = 8,398.69 × 8,398.69
  4. Step 4: Simplify right side
    3,893.06x = 70,537,951.72
  5. Step 5: Solve for x
    x = 70,537,951.72/3,893.06
  6. Step 6: Final answer
    x = 18,118.88

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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.