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Finding the Third Proportional to 17,124 and 25,809

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Solution

The third proportional to 17,124 and 25,809 is: 38,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,124 : 25,809 = 25,809 : x
  2. Step 2: Convert to fraction form
    17,124/25,809 = 25,809/x
  3. Step 3: Cross multiply
    17,124x = 25,809 × 25,809
  4. Step 4: Simplify right side
    17,124x = 666,104,481
  5. Step 5: Solve for x
    x = 666,104,481/17,124
  6. Step 6: Final answer
    x = 38,898.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.