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Finding the Third Proportional to 27,186 and 57,636

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Solution

The third proportional to 27,186 and 57,636 is: 122,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,186 : 57,636 = 57,636 : x
  2. Step 2: Convert to fraction form
    27,186/57,636 = 57,636/x
  3. Step 3: Cross multiply
    27,186x = 57,636 × 57,636
  4. Step 4: Simplify right side
    27,186x = 3,321,908,496
  5. Step 5: Solve for x
    x = 3,321,908,496/27,186
  6. Step 6: Final answer
    x = 122,191.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.