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Finding the Third Proportional to 17,469 and 26,254

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Solution

The third proportional to 17,469 and 26,254 is: 39,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,469 : 26,254 = 26,254 : x
  2. Step 2: Convert to fraction form
    17,469/26,254 = 26,254/x
  3. Step 3: Cross multiply
    17,469x = 26,254 × 26,254
  4. Step 4: Simplify right side
    17,469x = 689,272,516
  5. Step 5: Solve for x
    x = 689,272,516/17,469
  6. Step 6: Final answer
    x = 39,456.90

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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.