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Finding the Third Proportional to 6,790 and 14,197

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Solution

The third proportional to 6,790 and 14,197 is: 29,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790 : 14,197 = 14,197 : x
  2. Step 2: Convert to fraction form
    6,790/14,197 = 14,197/x
  3. Step 3: Cross multiply
    6,790x = 14,197 × 14,197
  4. Step 4: Simplify right side
    6,790x = 201,554,809
  5. Step 5: Solve for x
    x = 201,554,809/6,790
  6. Step 6: Final answer
    x = 29,684.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.