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Finding the Third Proportional to 27,189 and 36,594

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Solution

The third proportional to 27,189 and 36,594 is: 49,252.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189 : 36,594 = 36,594 : x
  2. Step 2: Convert to fraction form
    27,189/36,594 = 36,594/x
  3. Step 3: Cross multiply
    27,189x = 36,594 × 36,594
  4. Step 4: Simplify right side
    27,189x = 1,339,120,836
  5. Step 5: Solve for x
    x = 1,339,120,836/27,189
  6. Step 6: Final answer
    x = 49,252.30

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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.