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Finding the Third Proportional to 33,807 and 63,384

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Solution

The third proportional to 33,807 and 63,384 is: 118,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,807 : 63,384 = 63,384 : x
  2. Step 2: Convert to fraction form
    33,807/63,384 = 63,384/x
  3. Step 3: Cross multiply
    33,807x = 63,384 × 63,384
  4. Step 4: Simplify right side
    33,807x = 4,017,531,456
  5. Step 5: Solve for x
    x = 4,017,531,456/33,807
  6. Step 6: Final answer
    x = 118,837.27

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.