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Finding the Third Proportional to 38,304 and 57,224

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Solution

The third proportional to 38,304 and 57,224 is: 85,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304 : 57,224 = 57,224 : x
  2. Step 2: Convert to fraction form
    38,304/57,224 = 57,224/x
  3. Step 3: Cross multiply
    38,304x = 57,224 × 57,224
  4. Step 4: Simplify right side
    38,304x = 3,274,586,176
  5. Step 5: Solve for x
    x = 3,274,586,176/38,304
  6. Step 6: Final answer
    x = 85,489.41

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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.