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Finding the Third Proportional to 6,993 and 11,178

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Solution

The third proportional to 6,993 and 11,178 is: 17,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993 : 11,178 = 11,178 : x
  2. Step 2: Convert to fraction form
    6,993/11,178 = 11,178/x
  3. Step 3: Cross multiply
    6,993x = 11,178 × 11,178
  4. Step 4: Simplify right side
    6,993x = 124,947,684
  5. Step 5: Solve for x
    x = 124,947,684/6,993
  6. Step 6: Final answer
    x = 17,867.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.