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Finding the Third Proportional to 30,394 and 63,204

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Solution

The third proportional to 30,394 and 63,204 is: 131,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394 : 63,204 = 63,204 : x
  2. Step 2: Convert to fraction form
    30,394/63,204 = 63,204/x
  3. Step 3: Cross multiply
    30,394x = 63,204 × 63,204
  4. Step 4: Simplify right side
    30,394x = 3,994,745,616
  5. Step 5: Solve for x
    x = 3,994,745,616/30,394
  6. Step 6: Final answer
    x = 131,432.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.