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Finding the Third Proportional to 33,940.50 and 70,978.50

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Solution

The third proportional to 33,940.50 and 70,978.50 is: 148,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,940.50 : 70,978.50 = 70,978.50 : x
  2. Step 2: Convert to fraction form
    33,940.50/70,978.50 = 70,978.50/x
  3. Step 3: Cross multiply
    33,940.50x = 70,978.50 × 70,978.50
  4. Step 4: Simplify right side
    33,940.50x = 5,037,947,462.25
  5. Step 5: Solve for x
    x = 5,037,947,462.25/33,940.50
  6. Step 6: Final answer
    x = 148,434.69

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.