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Finding the Third Proportional to 9,246.66 and 13,083.82

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Solution

The third proportional to 9,246.66 and 13,083.82 is: 18,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.66 : 13,083.82 = 13,083.82 : x
  2. Step 2: Convert to fraction form
    9,246.66/13,083.82 = 13,083.82/x
  3. Step 3: Cross multiply
    9,246.66x = 13,083.82 × 13,083.82
  4. Step 4: Simplify right side
    9,246.66x = 171,186,353.97
  5. Step 5: Solve for x
    x = 171,186,353.97/9,246.66
  6. Step 6: Final answer
    x = 18,513.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.