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Finding the Third Proportional to 6,750.25 and 13,770.50

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Solution

The third proportional to 6,750.25 and 13,770.50 is: 28,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.25 : 13,770.50 = 13,770.50 : x
  2. Step 2: Convert to fraction form
    6,750.25/13,770.50 = 13,770.50/x
  3. Step 3: Cross multiply
    6,750.25x = 13,770.50 × 13,770.50
  4. Step 4: Simplify right side
    6,750.25x = 189,626,670.25
  5. Step 5: Solve for x
    x = 189,626,670.25/6,750.25
  6. Step 6: Final answer
    x = 28,091.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.