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Finding the Third Proportional to 17,986 and 26,326

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Solution

The third proportional to 17,986 and 26,326 is: 38,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,986 : 26,326 = 26,326 : x
  2. Step 2: Convert to fraction form
    17,986/26,326 = 26,326/x
  3. Step 3: Cross multiply
    17,986x = 26,326 × 26,326
  4. Step 4: Simplify right side
    17,986x = 693,058,276
  5. Step 5: Solve for x
    x = 693,058,276/17,986
  6. Step 6: Final answer
    x = 38,533.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.