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Finding the Third Proportional to 17,279 and 25,914

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Solution

The third proportional to 17,279 and 25,914 is: 38,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,279 : 25,914 = 25,914 : x
  2. Step 2: Convert to fraction form
    17,279/25,914 = 25,914/x
  3. Step 3: Cross multiply
    17,279x = 25,914 × 25,914
  4. Step 4: Simplify right side
    17,279x = 671,535,396
  5. Step 5: Solve for x
    x = 671,535,396/17,279
  6. Step 6: Final answer
    x = 38,864.25

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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.