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Finding the Third Proportional to 17,347 and 25,951

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Solution

The third proportional to 17,347 and 25,951 is: 38,822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,347 : 25,951 = 25,951 : x
  2. Step 2: Convert to fraction form
    17,347/25,951 = 25,951/x
  3. Step 3: Cross multiply
    17,347x = 25,951 × 25,951
  4. Step 4: Simplify right side
    17,347x = 673,454,401
  5. Step 5: Solve for x
    x = 673,454,401/17,347
  6. Step 6: Final answer
    x = 38,822.53

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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.