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Finding the Third Proportional to 28,194 and 37,983

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Solution

The third proportional to 28,194 and 37,983 is: 51,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,194 : 37,983 = 37,983 : x
  2. Step 2: Convert to fraction form
    28,194/37,983 = 37,983/x
  3. Step 3: Cross multiply
    28,194x = 37,983 × 37,983
  4. Step 4: Simplify right side
    28,194x = 1,442,708,289
  5. Step 5: Solve for x
    x = 1,442,708,289/28,194
  6. Step 6: Final answer
    x = 51,170.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.