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Finding the Third Proportional to 38,322 and 57,247

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Solution

The third proportional to 38,322 and 57,247 is: 85,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,322 : 57,247 = 57,247 : x
  2. Step 2: Convert to fraction form
    38,322/57,247 = 57,247/x
  3. Step 3: Cross multiply
    38,322x = 57,247 × 57,247
  4. Step 4: Simplify right side
    38,322x = 3,277,219,009
  5. Step 5: Solve for x
    x = 3,277,219,009/38,322
  6. Step 6: Final answer
    x = 85,517.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.