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Finding the Third Proportional to 6,830 and 14,734

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Solution

The third proportional to 6,830 and 14,734 is: 31,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830 : 14,734 = 14,734 : x
  2. Step 2: Convert to fraction form
    6,830/14,734 = 14,734/x
  3. Step 3: Cross multiply
    6,830x = 14,734 × 14,734
  4. Step 4: Simplify right side
    6,830x = 217,090,756
  5. Step 5: Solve for x
    x = 217,090,756/6,830
  6. Step 6: Final answer
    x = 31,784.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.