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Finding the Third Proportional to 27,191 and 36,597

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Solution

The third proportional to 27,191 and 36,597 is: 49,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,191 : 36,597 = 36,597 : x
  2. Step 2: Convert to fraction form
    27,191/36,597 = 36,597/x
  3. Step 3: Cross multiply
    27,191x = 36,597 × 36,597
  4. Step 4: Simplify right side
    27,191x = 1,339,340,409
  5. Step 5: Solve for x
    x = 1,339,340,409/27,191
  6. Step 6: Final answer
    x = 49,256.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.