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Finding the Third Proportional to 6,097.78 and 12,673.97

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Solution

The third proportional to 6,097.78 and 12,673.97 is: 26,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.78 : 12,673.97 = 12,673.97 : x
  2. Step 2: Convert to fraction form
    6,097.78/12,673.97 = 12,673.97/x
  3. Step 3: Cross multiply
    6,097.78x = 12,673.97 × 12,673.97
  4. Step 4: Simplify right side
    6,097.78x = 160,629,483.88
  5. Step 5: Solve for x
    x = 160,629,483.88/6,097.78
  6. Step 6: Final answer
    x = 26,342.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.