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Finding the Third Proportional to 33,375 and 70,989

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Solution

The third proportional to 33,375 and 70,989 is: 150,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,375 : 70,989 = 70,989 : x
  2. Step 2: Convert to fraction form
    33,375/70,989 = 70,989/x
  3. Step 3: Cross multiply
    33,375x = 70,989 × 70,989
  4. Step 4: Simplify right side
    33,375x = 5,039,438,121
  5. Step 5: Solve for x
    x = 5,039,438,121/33,375
  6. Step 6: Final answer
    x = 150,994.40

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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.