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Finding the Third Proportional to 17,344 and 39,928

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Solution

The third proportional to 17,344 and 39,928 is: 91,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344 : 39,928 = 39,928 : x
  2. Step 2: Convert to fraction form
    17,344/39,928 = 39,928/x
  3. Step 3: Cross multiply
    17,344x = 39,928 × 39,928
  4. Step 4: Simplify right side
    17,344x = 1,594,245,184
  5. Step 5: Solve for x
    x = 1,594,245,184/17,344
  6. Step 6: Final answer
    x = 91,919.12

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.