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Finding the Third Proportional to 6,930.75 and 15,190.50

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Solution

The third proportional to 6,930.75 and 15,190.50 is: 33,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.75 : 15,190.50 = 15,190.50 : x
  2. Step 2: Convert to fraction form
    6,930.75/15,190.50 = 15,190.50/x
  3. Step 3: Cross multiply
    6,930.75x = 15,190.50 × 15,190.50
  4. Step 4: Simplify right side
    6,930.75x = 230,751,290.25
  5. Step 5: Solve for x
    x = 230,751,290.25/6,930.75
  6. Step 6: Final answer
    x = 33,293.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.