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Finding the Third Proportional to 15,304 and 33,519

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Solution

The third proportional to 15,304 and 33,519 is: 73,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,304 : 33,519 = 33,519 : x
  2. Step 2: Convert to fraction form
    15,304/33,519 = 33,519/x
  3. Step 3: Cross multiply
    15,304x = 33,519 × 33,519
  4. Step 4: Simplify right side
    15,304x = 1,123,523,361
  5. Step 5: Solve for x
    x = 1,123,523,361/15,304
  6. Step 6: Final answer
    x = 73,413.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.