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Finding the Third Proportional to 7,973 and 17,326

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Solution

The third proportional to 7,973 and 17,326 is: 37,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973 : 17,326 = 17,326 : x
  2. Step 2: Convert to fraction form
    7,973/17,326 = 17,326/x
  3. Step 3: Cross multiply
    7,973x = 17,326 × 17,326
  4. Step 4: Simplify right side
    7,973x = 300,190,276
  5. Step 5: Solve for x
    x = 300,190,276/7,973
  6. Step 6: Final answer
    x = 37,650.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.