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Finding the Third Proportional to 30,219 and 49,941

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Solution

The third proportional to 30,219 and 49,941 is: 82,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219 : 49,941 = 49,941 : x
  2. Step 2: Convert to fraction form
    30,219/49,941 = 49,941/x
  3. Step 3: Cross multiply
    30,219x = 49,941 × 49,941
  4. Step 4: Simplify right side
    30,219x = 2,494,103,481
  5. Step 5: Solve for x
    x = 2,494,103,481/30,219
  6. Step 6: Final answer
    x = 82,534.28

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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.