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Finding the Third Proportional to 6,813 and 14,589

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Solution

The third proportional to 6,813 and 14,589 is: 31,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813 : 14,589 = 14,589 : x
  2. Step 2: Convert to fraction form
    6,813/14,589 = 14,589/x
  3. Step 3: Cross multiply
    6,813x = 14,589 × 14,589
  4. Step 4: Simplify right side
    6,813x = 212,838,921
  5. Step 5: Solve for x
    x = 212,838,921/6,813
  6. Step 6: Final answer
    x = 31,240.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.