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Finding the Third Proportional to 33,420 and 44,548

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Solution

The third proportional to 33,420 and 44,548 is: 59,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420 : 44,548 = 44,548 : x
  2. Step 2: Convert to fraction form
    33,420/44,548 = 44,548/x
  3. Step 3: Cross multiply
    33,420x = 44,548 × 44,548
  4. Step 4: Simplify right side
    33,420x = 1,984,524,304
  5. Step 5: Solve for x
    x = 1,984,524,304/33,420
  6. Step 6: Final answer
    x = 59,381.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.