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Finding the Third Proportional to 27,854 and 43,150

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Solution

The third proportional to 27,854 and 43,150 is: 66,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854 : 43,150 = 43,150 : x
  2. Step 2: Convert to fraction form
    27,854/43,150 = 43,150/x
  3. Step 3: Cross multiply
    27,854x = 43,150 × 43,150
  4. Step 4: Simplify right side
    27,854x = 1,861,922,500
  5. Step 5: Solve for x
    x = 1,861,922,500/27,854
  6. Step 6: Final answer
    x = 66,845.79

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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.