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Finding the Third Proportional to 27,976.50 and 43,383

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Solution

The third proportional to 27,976.50 and 43,383 is: 67,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.50 : 43,383 = 43,383 : x
  2. Step 2: Convert to fraction form
    27,976.50/43,383 = 43,383/x
  3. Step 3: Cross multiply
    27,976.50x = 43,383 × 43,383
  4. Step 4: Simplify right side
    27,976.50x = 1,882,084,689
  5. Step 5: Solve for x
    x = 1,882,084,689/27,976.50
  6. Step 6: Final answer
    x = 67,273.77

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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.