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Finding the Third Proportional to 6,149 and 13,546

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Solution

The third proportional to 6,149 and 13,546 is: 29,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149 : 13,546 = 13,546 : x
  2. Step 2: Convert to fraction form
    6,149/13,546 = 13,546/x
  3. Step 3: Cross multiply
    6,149x = 13,546 × 13,546
  4. Step 4: Simplify right side
    6,149x = 183,494,116
  5. Step 5: Solve for x
    x = 183,494,116/6,149
  6. Step 6: Final answer
    x = 29,841.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.