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Finding the Third Proportional to 5,199.33 and 7,991.86

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Solution

The third proportional to 5,199.33 and 7,991.86 is: 12,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.33 : 7,991.86 = 7,991.86 : x
  2. Step 2: Convert to fraction form
    5,199.33/7,991.86 = 7,991.86/x
  3. Step 3: Cross multiply
    5,199.33x = 7,991.86 × 7,991.86
  4. Step 4: Simplify right side
    5,199.33x = 63,869,816.27
  5. Step 5: Solve for x
    x = 63,869,816.27/5,199.33
  6. Step 6: Final answer
    x = 12,284.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.