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Finding the Third Proportional to 2,774.25 and 5,992.31

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Solution

The third proportional to 2,774.25 and 5,992.31 is: 12,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.25 : 5,992.31 = 5,992.31 : x
  2. Step 2: Convert to fraction form
    2,774.25/5,992.31 = 5,992.31/x
  3. Step 3: Cross multiply
    2,774.25x = 5,992.31 × 5,992.31
  4. Step 4: Simplify right side
    2,774.25x = 35,907,809.10
  5. Step 5: Solve for x
    x = 35,907,809.10/2,774.25
  6. Step 6: Final answer
    x = 12,943.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.