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Finding the Third Proportional to 21,749 and 33,326

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Solution

The third proportional to 21,749 and 33,326 is: 51,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,749 : 33,326 = 33,326 : x
  2. Step 2: Convert to fraction form
    21,749/33,326 = 33,326/x
  3. Step 3: Cross multiply
    21,749x = 33,326 × 33,326
  4. Step 4: Simplify right side
    21,749x = 1,110,622,276
  5. Step 5: Solve for x
    x = 1,110,622,276/21,749
  6. Step 6: Final answer
    x = 51,065.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.