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Finding the Third Proportional to 30,200 and 49,912

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Solution

The third proportional to 30,200 and 49,912 is: 82,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200 : 49,912 = 49,912 : x
  2. Step 2: Convert to fraction form
    30,200/49,912 = 49,912/x
  3. Step 3: Cross multiply
    30,200x = 49,912 × 49,912
  4. Step 4: Simplify right side
    30,200x = 2,491,207,744
  5. Step 5: Solve for x
    x = 2,491,207,744/30,200
  6. Step 6: Final answer
    x = 82,490.32

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.