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Finding the Third Proportional to 30,933 and 49,803

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Solution

The third proportional to 30,933 and 49,803 is: 80,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933 : 49,803 = 49,803 : x
  2. Step 2: Convert to fraction form
    30,933/49,803 = 49,803/x
  3. Step 3: Cross multiply
    30,933x = 49,803 × 49,803
  4. Step 4: Simplify right side
    30,933x = 2,480,338,809
  5. Step 5: Solve for x
    x = 2,480,338,809/30,933
  6. Step 6: Final answer
    x = 80,184.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.