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Finding the Third Proportional to 7,969.25 and 16,887.25

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Solution

The third proportional to 7,969.25 and 16,887.25 is: 35,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.25 : 16,887.25 = 16,887.25 : x
  2. Step 2: Convert to fraction form
    7,969.25/16,887.25 = 16,887.25/x
  3. Step 3: Cross multiply
    7,969.25x = 16,887.25 × 16,887.25
  4. Step 4: Simplify right side
    7,969.25x = 285,179,212.56
  5. Step 5: Solve for x
    x = 285,179,212.56/7,969.25
  6. Step 6: Final answer
    x = 35,784.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.