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Finding the Third Proportional to 6,813 and 14,313

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Solution

The third proportional to 6,813 and 14,313 is: 30,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813 : 14,313 = 14,313 : x
  2. Step 2: Convert to fraction form
    6,813/14,313 = 14,313/x
  3. Step 3: Cross multiply
    6,813x = 14,313 × 14,313
  4. Step 4: Simplify right side
    6,813x = 204,861,969
  5. Step 5: Solve for x
    x = 204,861,969/6,813
  6. Step 6: Final answer
    x = 30,069.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.