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Finding the Third Proportional to 30,736 and 62,599

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Solution

The third proportional to 30,736 and 62,599 is: 127,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,736 : 62,599 = 62,599 : x
  2. Step 2: Convert to fraction form
    30,736/62,599 = 62,599/x
  3. Step 3: Cross multiply
    30,736x = 62,599 × 62,599
  4. Step 4: Simplify right side
    30,736x = 3,918,634,801
  5. Step 5: Solve for x
    x = 3,918,634,801/30,736
  6. Step 6: Final answer
    x = 127,493.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.