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Finding the Third Proportional to 17,104 and 25,587

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Solution

The third proportional to 17,104 and 25,587 is: 38,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,104 : 25,587 = 25,587 : x
  2. Step 2: Convert to fraction form
    17,104/25,587 = 25,587/x
  3. Step 3: Cross multiply
    17,104x = 25,587 × 25,587
  4. Step 4: Simplify right side
    17,104x = 654,694,569
  5. Step 5: Solve for x
    x = 654,694,569/17,104
  6. Step 6: Final answer
    x = 38,277.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.