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Finding the Third Proportional to 9,226.41 and 12,916.97

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Solution

The third proportional to 9,226.41 and 12,916.97 is: 18,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.41 : 12,916.97 = 12,916.97 : x
  2. Step 2: Convert to fraction form
    9,226.41/12,916.97 = 12,916.97/x
  3. Step 3: Cross multiply
    9,226.41x = 12,916.97 × 12,916.97
  4. Step 4: Simplify right side
    9,226.41x = 166,848,081.69
  5. Step 5: Solve for x
    x = 166,848,081.69/9,226.41
  6. Step 6: Final answer
    x = 18,083.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.