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Finding the Third Proportional to 23,458 and 49,990

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Solution

The third proportional to 23,458 and 49,990 is: 106,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458 : 49,990 = 49,990 : x
  2. Step 2: Convert to fraction form
    23,458/49,990 = 49,990/x
  3. Step 3: Cross multiply
    23,458x = 49,990 × 49,990
  4. Step 4: Simplify right side
    23,458x = 2,499,000,100
  5. Step 5: Solve for x
    x = 2,499,000,100/23,458
  6. Step 6: Final answer
    x = 106,530.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.