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Finding the Third Proportional to 38,981 and 94,253

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Solution

The third proportional to 38,981 and 94,253 is: 227,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,981 : 94,253 = 94,253 : x
  2. Step 2: Convert to fraction form
    38,981/94,253 = 94,253/x
  3. Step 3: Cross multiply
    38,981x = 94,253 × 94,253
  4. Step 4: Simplify right side
    38,981x = 8,883,628,009
  5. Step 5: Solve for x
    x = 8,883,628,009/38,981
  6. Step 6: Final answer
    x = 227,896.36

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.