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Finding the Third Proportional to 6,906.38 and 14,916.38

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Solution

The third proportional to 6,906.38 and 14,916.38 is: 32,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.38 : 14,916.38 = 14,916.38 : x
  2. Step 2: Convert to fraction form
    6,906.38/14,916.38 = 14,916.38/x
  3. Step 3: Cross multiply
    6,906.38x = 14,916.38 × 14,916.38
  4. Step 4: Simplify right side
    6,906.38x = 222,498,243.14
  5. Step 5: Solve for x
    x = 222,498,243.14/6,906.38
  6. Step 6: Final answer
    x = 32,216.36

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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.