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Finding the Third Proportional to 17,026 and 25,898

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Solution

The third proportional to 17,026 and 25,898 is: 39,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,026 : 25,898 = 25,898 : x
  2. Step 2: Convert to fraction form
    17,026/25,898 = 25,898/x
  3. Step 3: Cross multiply
    17,026x = 25,898 × 25,898
  4. Step 4: Simplify right side
    17,026x = 670,706,404
  5. Step 5: Solve for x
    x = 670,706,404/17,026
  6. Step 6: Final answer
    x = 39,393.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.