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Finding the Third Proportional to 38,304 and 54,836

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Solution

The third proportional to 38,304 and 54,836 is: 78,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304 : 54,836 = 54,836 : x
  2. Step 2: Convert to fraction form
    38,304/54,836 = 54,836/x
  3. Step 3: Cross multiply
    38,304x = 54,836 × 54,836
  4. Step 4: Simplify right side
    38,304x = 3,006,986,896
  5. Step 5: Solve for x
    x = 3,006,986,896/38,304
  6. Step 6: Final answer
    x = 78,503.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.