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Finding the Third Proportional to 17,953 and 39,326

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Solution

The third proportional to 17,953 and 39,326 is: 86,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,953 : 39,326 = 39,326 : x
  2. Step 2: Convert to fraction form
    17,953/39,326 = 39,326/x
  3. Step 3: Cross multiply
    17,953x = 39,326 × 39,326
  4. Step 4: Simplify right side
    17,953x = 1,546,534,276
  5. Step 5: Solve for x
    x = 1,546,534,276/17,953
  6. Step 6: Final answer
    x = 86,143.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.