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Finding the Third Proportional to 38,304 and 57,223

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Solution

The third proportional to 38,304 and 57,223 is: 85,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304 : 57,223 = 57,223 : x
  2. Step 2: Convert to fraction form
    38,304/57,223 = 57,223/x
  3. Step 3: Cross multiply
    38,304x = 57,223 × 57,223
  4. Step 4: Simplify right side
    38,304x = 3,274,471,729
  5. Step 5: Solve for x
    x = 3,274,471,729/38,304
  6. Step 6: Final answer
    x = 85,486.42

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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.