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Finding the Third Proportional to 6,149 and 14,441

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Solution

The third proportional to 6,149 and 14,441 is: 33,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149 : 14,441 = 14,441 : x
  2. Step 2: Convert to fraction form
    6,149/14,441 = 14,441/x
  3. Step 3: Cross multiply
    6,149x = 14,441 × 14,441
  4. Step 4: Simplify right side
    6,149x = 208,542,481
  5. Step 5: Solve for x
    x = 208,542,481/6,149
  6. Step 6: Final answer
    x = 33,914.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.