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Finding the Third Proportional to 7,844.25 and 16,326

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Solution

The third proportional to 7,844.25 and 16,326 is: 33,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.25 : 16,326 = 16,326 : x
  2. Step 2: Convert to fraction form
    7,844.25/16,326 = 16,326/x
  3. Step 3: Cross multiply
    7,844.25x = 16,326 × 16,326
  4. Step 4: Simplify right side
    7,844.25x = 266,538,276
  5. Step 5: Solve for x
    x = 266,538,276/7,844.25
  6. Step 6: Final answer
    x = 33,978.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.