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Finding the Third Proportional to 6,149 and 13,333

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Solution

The third proportional to 6,149 and 13,333 is: 28,910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149 : 13,333 = 13,333 : x
  2. Step 2: Convert to fraction form
    6,149/13,333 = 13,333/x
  3. Step 3: Cross multiply
    6,149x = 13,333 × 13,333
  4. Step 4: Simplify right side
    6,149x = 177,768,889
  5. Step 5: Solve for x
    x = 177,768,889/6,149
  6. Step 6: Final answer
    x = 28,910.21

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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.