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Finding the Third Proportional to 18,304 and 38,768

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Solution

The third proportional to 18,304 and 38,768 is: 82,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,304 : 38,768 = 38,768 : x
  2. Step 2: Convert to fraction form
    18,304/38,768 = 38,768/x
  3. Step 3: Cross multiply
    18,304x = 38,768 × 38,768
  4. Step 4: Simplify right side
    18,304x = 1,502,957,824
  5. Step 5: Solve for x
    x = 1,502,957,824/18,304
  6. Step 6: Final answer
    x = 82,110.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.