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Finding the Third Proportional to 30,213 and 49,932

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Solution

The third proportional to 30,213 and 49,932 is: 82,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213 : 49,932 = 49,932 : x
  2. Step 2: Convert to fraction form
    30,213/49,932 = 49,932/x
  3. Step 3: Cross multiply
    30,213x = 49,932 × 49,932
  4. Step 4: Simplify right side
    30,213x = 2,493,204,624
  5. Step 5: Solve for x
    x = 2,493,204,624/30,213
  6. Step 6: Final answer
    x = 82,520.92

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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.