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Finding the Third Proportional to 17,226 and 25,887

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Solution

The third proportional to 17,226 and 25,887 is: 38,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,226 : 25,887 = 25,887 : x
  2. Step 2: Convert to fraction form
    17,226/25,887 = 25,887/x
  3. Step 3: Cross multiply
    17,226x = 25,887 × 25,887
  4. Step 4: Simplify right side
    17,226x = 670,136,769
  5. Step 5: Solve for x
    x = 670,136,769/17,226
  6. Step 6: Final answer
    x = 38,902.63

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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.