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Finding the Third Proportional to 33,406 and 51,368

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Solution

The third proportional to 33,406 and 51,368 is: 78,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406 : 51,368 = 51,368 : x
  2. Step 2: Convert to fraction form
    33,406/51,368 = 51,368/x
  3. Step 3: Cross multiply
    33,406x = 51,368 × 51,368
  4. Step 4: Simplify right side
    33,406x = 2,638,671,424
  5. Step 5: Solve for x
    x = 2,638,671,424/33,406
  6. Step 6: Final answer
    x = 78,987.95

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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.