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Finding the Third Proportional to 33,816 and 48,708.75

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Solution

The third proportional to 33,816 and 48,708.75 is: 70,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,816 : 48,708.75 = 48,708.75 : x
  2. Step 2: Convert to fraction form
    33,816/48,708.75 = 48,708.75/x
  3. Step 3: Cross multiply
    33,816x = 48,708.75 × 48,708.75
  4. Step 4: Simplify right side
    33,816x = 2,372,542,326.56
  5. Step 5: Solve for x
    x = 2,372,542,326.56/33,816
  6. Step 6: Final answer
    x = 70,160.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.