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Finding the Third Proportional to 6,133.85 and 13,327.03

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Solution

The third proportional to 6,133.85 and 13,327.03 is: 28,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.85 : 13,327.03 = 13,327.03 : x
  2. Step 2: Convert to fraction form
    6,133.85/13,327.03 = 13,327.03/x
  3. Step 3: Cross multiply
    6,133.85x = 13,327.03 × 13,327.03
  4. Step 4: Simplify right side
    6,133.85x = 177,609,761.94
  5. Step 5: Solve for x
    x = 177,609,761.94/6,133.85
  6. Step 6: Final answer
    x = 28,955.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.