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Finding the Third Proportional to 17,361 and 25,292.25

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Solution

The third proportional to 17,361 and 25,292.25 is: 36,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,361 : 25,292.25 = 25,292.25 : x
  2. Step 2: Convert to fraction form
    17,361/25,292.25 = 25,292.25/x
  3. Step 3: Cross multiply
    17,361x = 25,292.25 × 25,292.25
  4. Step 4: Simplify right side
    17,361x = 639,697,910.06
  5. Step 5: Solve for x
    x = 639,697,910.06/17,361
  6. Step 6: Final answer
    x = 36,846.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.