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Finding the Third Proportional to 49,608 and 74,524.50

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Solution

The third proportional to 49,608 and 74,524.50 is: 111,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,608 : 74,524.50 = 74,524.50 : x
  2. Step 2: Convert to fraction form
    49,608/74,524.50 = 74,524.50/x
  3. Step 3: Cross multiply
    49,608x = 74,524.50 × 74,524.50
  4. Step 4: Simplify right side
    49,608x = 5,553,901,100.25
  5. Step 5: Solve for x
    x = 5,553,901,100.25/49,608
  6. Step 6: Final answer
    x = 111,955.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.