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Finding the Third Proportional to 27,350 and 43,250

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Solution

The third proportional to 27,350 and 43,250 is: 68,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,350 : 43,250 = 43,250 : x
  2. Step 2: Convert to fraction form
    27,350/43,250 = 43,250/x
  3. Step 3: Cross multiply
    27,350x = 43,250 × 43,250
  4. Step 4: Simplify right side
    27,350x = 1,870,562,500
  5. Step 5: Solve for x
    x = 1,870,562,500/27,350
  6. Step 6: Final answer
    x = 68,393.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.