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Finding the Third Proportional to 17,026 and 25,562

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Solution

The third proportional to 17,026 and 25,562 is: 38,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,026 : 25,562 = 25,562 : x
  2. Step 2: Convert to fraction form
    17,026/25,562 = 25,562/x
  3. Step 3: Cross multiply
    17,026x = 25,562 × 25,562
  4. Step 4: Simplify right side
    17,026x = 653,415,844
  5. Step 5: Solve for x
    x = 653,415,844/17,026
  6. Step 6: Final answer
    x = 38,377.53

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