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Finding the Third Proportional to 5,892.75 and 12,822.75

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Solution

The third proportional to 5,892.75 and 12,822.75 is: 27,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.75 : 12,822.75 = 12,822.75 : x
  2. Step 2: Convert to fraction form
    5,892.75/12,822.75 = 12,822.75/x
  3. Step 3: Cross multiply
    5,892.75x = 12,822.75 × 12,822.75
  4. Step 4: Simplify right side
    5,892.75x = 164,422,917.56
  5. Step 5: Solve for x
    x = 164,422,917.56/5,892.75
  6. Step 6: Final answer
    x = 27,902.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.