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Finding the Third Proportional to 6,021.84 and 7,992.84

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Solution

The third proportional to 6,021.84 and 7,992.84 is: 10,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.84 : 7,992.84 = 7,992.84 : x
  2. Step 2: Convert to fraction form
    6,021.84/7,992.84 = 7,992.84/x
  3. Step 3: Cross multiply
    6,021.84x = 7,992.84 × 7,992.84
  4. Step 4: Simplify right side
    6,021.84x = 63,885,551.21
  5. Step 5: Solve for x
    x = 63,885,551.21/6,021.84
  6. Step 6: Final answer
    x = 10,608.97

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.