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Finding the Third Proportional to 17,161 and 26,597

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Solution

The third proportional to 17,161 and 26,597 is: 41,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,161 : 26,597 = 26,597 : x
  2. Step 2: Convert to fraction form
    17,161/26,597 = 26,597/x
  3. Step 3: Cross multiply
    17,161x = 26,597 × 26,597
  4. Step 4: Simplify right side
    17,161x = 707,400,409
  5. Step 5: Solve for x
    x = 707,400,409/17,161
  6. Step 6: Final answer
    x = 41,221.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.