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Finding the Third Proportional to 33,818 and 48,989

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Solution

The third proportional to 33,818 and 48,989 is: 70,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,818 : 48,989 = 48,989 : x
  2. Step 2: Convert to fraction form
    33,818/48,989 = 48,989/x
  3. Step 3: Cross multiply
    33,818x = 48,989 × 48,989
  4. Step 4: Simplify right side
    33,818x = 2,399,922,121
  5. Step 5: Solve for x
    x = 2,399,922,121/33,818
  6. Step 6: Final answer
    x = 70,965.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.