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Finding the Third Proportional to 6,097.78 and 9,936.42

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Solution

The third proportional to 6,097.78 and 9,936.42 is: 16,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.78 : 9,936.42 = 9,936.42 : x
  2. Step 2: Convert to fraction form
    6,097.78/9,936.42 = 9,936.42/x
  3. Step 3: Cross multiply
    6,097.78x = 9,936.42 × 9,936.42
  4. Step 4: Simplify right side
    6,097.78x = 98,732,479.68
  5. Step 5: Solve for x
    x = 98,732,479.68/6,097.78
  6. Step 6: Final answer
    x = 16,191.54

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.