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Finding the Third Proportional to 17,957 and 21,177

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Solution

The third proportional to 17,957 and 21,177 is: 24,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957 : 21,177 = 21,177 : x
  2. Step 2: Convert to fraction form
    17,957/21,177 = 21,177/x
  3. Step 3: Cross multiply
    17,957x = 21,177 × 21,177
  4. Step 4: Simplify right side
    17,957x = 448,465,329
  5. Step 5: Solve for x
    x = 448,465,329/17,957
  6. Step 6: Final answer
    x = 24,974.40

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.