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Finding the Third Proportional to 17,290 and 25,177

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Solution

The third proportional to 17,290 and 25,177 is: 36,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,290 : 25,177 = 25,177 : x
  2. Step 2: Convert to fraction form
    17,290/25,177 = 25,177/x
  3. Step 3: Cross multiply
    17,290x = 25,177 × 25,177
  4. Step 4: Simplify right side
    17,290x = 633,881,329
  5. Step 5: Solve for x
    x = 633,881,329/17,290
  6. Step 6: Final answer
    x = 36,661.73

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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.