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Finding the Third Proportional to 49,682 and 74,990

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Solution

The third proportional to 49,682 and 74,990 is: 113,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,682 : 74,990 = 74,990 : x
  2. Step 2: Convert to fraction form
    49,682/74,990 = 74,990/x
  3. Step 3: Cross multiply
    49,682x = 74,990 × 74,990
  4. Step 4: Simplify right side
    49,682x = 5,623,500,100
  5. Step 5: Solve for x
    x = 5,623,500,100/49,682
  6. Step 6: Final answer
    x = 113,189.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.