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Finding the Third Proportional to 5,886.38 and 8,249.81

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Solution

The third proportional to 5,886.38 and 8,249.81 is: 11,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.38 : 8,249.81 = 8,249.81 : x
  2. Step 2: Convert to fraction form
    5,886.38/8,249.81 = 8,249.81/x
  3. Step 3: Cross multiply
    5,886.38x = 8,249.81 × 8,249.81
  4. Step 4: Simplify right side
    5,886.38x = 68,059,406.29
  5. Step 5: Solve for x
    x = 68,059,406.29/5,886.38
  6. Step 6: Final answer
    x = 11,562.19

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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.