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Finding the Third Proportional to 5,973.75 and 8,196.19

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Solution

The third proportional to 5,973.75 and 8,196.19 is: 11,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.75 : 8,196.19 = 8,196.19 : x
  2. Step 2: Convert to fraction form
    5,973.75/8,196.19 = 8,196.19/x
  3. Step 3: Cross multiply
    5,973.75x = 8,196.19 × 8,196.19
  4. Step 4: Simplify right side
    5,973.75x = 67,177,489.54
  5. Step 5: Solve for x
    x = 67,177,489.54/5,973.75
  6. Step 6: Final answer
    x = 11,245.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.