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Finding the Third Proportional to 6,779 and 14,297

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Solution

The third proportional to 6,779 and 14,297 is: 30,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779 : 14,297 = 14,297 : x
  2. Step 2: Convert to fraction form
    6,779/14,297 = 14,297/x
  3. Step 3: Cross multiply
    6,779x = 14,297 × 14,297
  4. Step 4: Simplify right side
    6,779x = 204,404,209
  5. Step 5: Solve for x
    x = 204,404,209/6,779
  6. Step 6: Final answer
    x = 30,152.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.