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Finding the Third Proportional to 6,830 and 14,236

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Solution

The third proportional to 6,830 and 14,236 is: 29,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830 : 14,236 = 14,236 : x
  2. Step 2: Convert to fraction form
    6,830/14,236 = 14,236/x
  3. Step 3: Cross multiply
    6,830x = 14,236 × 14,236
  4. Step 4: Simplify right side
    6,830x = 202,663,696
  5. Step 5: Solve for x
    x = 202,663,696/6,830
  6. Step 6: Final answer
    x = 29,672.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.