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Finding the Third Proportional to 33,368 and 51,512

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Solution

The third proportional to 33,368 and 51,512 is: 79,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,368 : 51,512 = 51,512 : x
  2. Step 2: Convert to fraction form
    33,368/51,512 = 51,512/x
  3. Step 3: Cross multiply
    33,368x = 51,512 × 51,512
  4. Step 4: Simplify right side
    33,368x = 2,653,486,144
  5. Step 5: Solve for x
    x = 2,653,486,144/33,368
  6. Step 6: Final answer
    x = 79,521.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.