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Finding the Third Proportional to 17,334 and 25,677

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Solution

The third proportional to 17,334 and 25,677 is: 38,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,334 : 25,677 = 25,677 : x
  2. Step 2: Convert to fraction form
    17,334/25,677 = 25,677/x
  3. Step 3: Cross multiply
    17,334x = 25,677 × 25,677
  4. Step 4: Simplify right side
    17,334x = 659,308,329
  5. Step 5: Solve for x
    x = 659,308,329/17,334
  6. Step 6: Final answer
    x = 38,035.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.