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Finding the Third Proportional to 27,878 and 43,194

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Solution

The third proportional to 27,878 and 43,194 is: 66,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878 : 43,194 = 43,194 : x
  2. Step 2: Convert to fraction form
    27,878/43,194 = 43,194/x
  3. Step 3: Cross multiply
    27,878x = 43,194 × 43,194
  4. Step 4: Simplify right side
    27,878x = 1,865,721,636
  5. Step 5: Solve for x
    x = 1,865,721,636/27,878
  6. Step 6: Final answer
    x = 66,924.52

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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.