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Finding the Third Proportional to 27,189 and 40,758

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Solution

The third proportional to 27,189 and 40,758 is: 61,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189 : 40,758 = 40,758 : x
  2. Step 2: Convert to fraction form
    27,189/40,758 = 40,758/x
  3. Step 3: Cross multiply
    27,189x = 40,758 × 40,758
  4. Step 4: Simplify right side
    27,189x = 1,661,214,564
  5. Step 5: Solve for x
    x = 1,661,214,564/27,189
  6. Step 6: Final answer
    x = 61,098.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.