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Finding the Third Proportional to 30,682 and 68,276

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Solution

The third proportional to 30,682 and 68,276 is: 151,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682 : 68,276 = 68,276 : x
  2. Step 2: Convert to fraction form
    30,682/68,276 = 68,276/x
  3. Step 3: Cross multiply
    30,682x = 68,276 × 68,276
  4. Step 4: Simplify right side
    30,682x = 4,661,612,176
  5. Step 5: Solve for x
    x = 4,661,612,176/30,682
  6. Step 6: Final answer
    x = 151,933.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.