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Finding the Third Proportional to 17,268 and 25,917

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Solution

The third proportional to 17,268 and 25,917 is: 38,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,268 : 25,917 = 25,917 : x
  2. Step 2: Convert to fraction form
    17,268/25,917 = 25,917/x
  3. Step 3: Cross multiply
    17,268x = 25,917 × 25,917
  4. Step 4: Simplify right side
    17,268x = 671,690,889
  5. Step 5: Solve for x
    x = 671,690,889/17,268
  6. Step 6: Final answer
    x = 38,898.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.