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Finding the Third Proportional to 30,226 and 49,950

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Solution

The third proportional to 30,226 and 49,950 is: 82,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,226 : 49,950 = 49,950 : x
  2. Step 2: Convert to fraction form
    30,226/49,950 = 49,950/x
  3. Step 3: Cross multiply
    30,226x = 49,950 × 49,950
  4. Step 4: Simplify right side
    30,226x = 2,495,002,500
  5. Step 5: Solve for x
    x = 2,495,002,500/30,226
  6. Step 6: Final answer
    x = 82,544.91

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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.