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Finding the Third Proportional to 27,918 and 43,173

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Solution

The third proportional to 27,918 and 43,173 is: 66,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,918 : 43,173 = 43,173 : x
  2. Step 2: Convert to fraction form
    27,918/43,173 = 43,173/x
  3. Step 3: Cross multiply
    27,918x = 43,173 × 43,173
  4. Step 4: Simplify right side
    27,918x = 1,863,907,929
  5. Step 5: Solve for x
    x = 1,863,907,929/27,918
  6. Step 6: Final answer
    x = 66,763.66

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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.