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Finding the Third Proportional to 30,374.25 and 70,944.75

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Solution

The third proportional to 30,374.25 and 70,944.75 is: 165,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,374.25 : 70,944.75 = 70,944.75 : x
  2. Step 2: Convert to fraction form
    30,374.25/70,944.75 = 70,944.75/x
  3. Step 3: Cross multiply
    30,374.25x = 70,944.75 × 70,944.75
  4. Step 4: Simplify right side
    30,374.25x = 5,033,157,552.56
  5. Step 5: Solve for x
    x = 5,033,157,552.56/30,374.25
  6. Step 6: Final answer
    x = 165,704.75

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.