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Finding the Third Proportional to 6,380 and 13,802

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Solution

The third proportional to 6,380 and 13,802 is: 29,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380 : 13,802 = 13,802 : x
  2. Step 2: Convert to fraction form
    6,380/13,802 = 13,802/x
  3. Step 3: Cross multiply
    6,380x = 13,802 × 13,802
  4. Step 4: Simplify right side
    6,380x = 190,495,204
  5. Step 5: Solve for x
    x = 190,495,204/6,380
  6. Step 6: Final answer
    x = 29,858.18

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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.