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Finding the Third Proportional to 6,225 and 13,768.50

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Solution

The third proportional to 6,225 and 13,768.50 is: 30,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225 : 13,768.50 = 13,768.50 : x
  2. Step 2: Convert to fraction form
    6,225/13,768.50 = 13,768.50/x
  3. Step 3: Cross multiply
    6,225x = 13,768.50 × 13,768.50
  4. Step 4: Simplify right side
    6,225x = 189,571,592.25
  5. Step 5: Solve for x
    x = 189,571,592.25/6,225
  6. Step 6: Final answer
    x = 30,453.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.