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Finding the Third Proportional to 27,983 and 42,244

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Solution

The third proportional to 27,983 and 42,244 is: 63,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983 : 42,244 = 42,244 : x
  2. Step 2: Convert to fraction form
    27,983/42,244 = 42,244/x
  3. Step 3: Cross multiply
    27,983x = 42,244 × 42,244
  4. Step 4: Simplify right side
    27,983x = 1,784,555,536
  5. Step 5: Solve for x
    x = 1,784,555,536/27,983
  6. Step 6: Final answer
    x = 63,772.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.