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Finding the Third Proportional to 6,691.50 and 10,383.38

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Solution

The third proportional to 6,691.50 and 10,383.38 is: 16,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.50 : 10,383.38 = 10,383.38 : x
  2. Step 2: Convert to fraction form
    6,691.50/10,383.38 = 10,383.38/x
  3. Step 3: Cross multiply
    6,691.50x = 10,383.38 × 10,383.38
  4. Step 4: Simplify right side
    6,691.50x = 107,814,476.39
  5. Step 5: Solve for x
    x = 107,814,476.39/6,691.50
  6. Step 6: Final answer
    x = 16,112.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.