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Finding the Third Proportional to 5,389.37 and 8,050.86

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Solution

The third proportional to 5,389.37 and 8,050.86 is: 12,026.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.37 : 8,050.86 = 8,050.86 : x
  2. Step 2: Convert to fraction form
    5,389.37/8,050.86 = 8,050.86/x
  3. Step 3: Cross multiply
    5,389.37x = 8,050.86 × 8,050.86
  4. Step 4: Simplify right side
    5,389.37x = 64,816,336.68
  5. Step 5: Solve for x
    x = 64,816,336.68/5,389.37
  6. Step 6: Final answer
    x = 12,026.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.