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Finding the Third Proportional to 6,830 and 14,494

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Solution

The third proportional to 6,830 and 14,494 is: 30,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830 : 14,494 = 14,494 : x
  2. Step 2: Convert to fraction form
    6,830/14,494 = 14,494/x
  3. Step 3: Cross multiply
    6,830x = 14,494 × 14,494
  4. Step 4: Simplify right side
    6,830x = 210,076,036
  5. Step 5: Solve for x
    x = 210,076,036/6,830
  6. Step 6: Final answer
    x = 30,757.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.