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Finding the Third Proportional to 6,368 and 13,828

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Solution

The third proportional to 6,368 and 13,828 is: 30,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368 : 13,828 = 13,828 : x
  2. Step 2: Convert to fraction form
    6,368/13,828 = 13,828/x
  3. Step 3: Cross multiply
    6,368x = 13,828 × 13,828
  4. Step 4: Simplify right side
    6,368x = 191,213,584
  5. Step 5: Solve for x
    x = 191,213,584/6,368
  6. Step 6: Final answer
    x = 30,027.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.