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Finding the Third Proportional to 17,468 and 25,957

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Solution

The third proportional to 17,468 and 25,957 is: 38,571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468 : 25,957 = 25,957 : x
  2. Step 2: Convert to fraction form
    17,468/25,957 = 25,957/x
  3. Step 3: Cross multiply
    17,468x = 25,957 × 25,957
  4. Step 4: Simplify right side
    17,468x = 673,765,849
  5. Step 5: Solve for x
    x = 673,765,849/17,468
  6. Step 6: Final answer
    x = 38,571.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.