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Finding the Third Proportional to 23,728.50 and 49,077

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Solution

The third proportional to 23,728.50 and 49,077 is: 101,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.50 : 49,077 = 49,077 : x
  2. Step 2: Convert to fraction form
    23,728.50/49,077 = 49,077/x
  3. Step 3: Cross multiply
    23,728.50x = 49,077 × 49,077
  4. Step 4: Simplify right side
    23,728.50x = 2,408,551,929
  5. Step 5: Solve for x
    x = 2,408,551,929/23,728.50
  6. Step 6: Final answer
    x = 101,504.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.