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Finding the Third Proportional to 33,856 and 51,539

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Solution

The third proportional to 33,856 and 51,539 is: 78,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856 : 51,539 = 51,539 : x
  2. Step 2: Convert to fraction form
    33,856/51,539 = 51,539/x
  3. Step 3: Cross multiply
    33,856x = 51,539 × 51,539
  4. Step 4: Simplify right side
    33,856x = 2,656,268,521
  5. Step 5: Solve for x
    x = 2,656,268,521/33,856
  6. Step 6: Final answer
    x = 78,457.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.