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Finding the Third Proportional to 11,218 and 16,967

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Solution

The third proportional to 11,218 and 16,967 is: 25,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218 : 16,967 = 16,967 : x
  2. Step 2: Convert to fraction form
    11,218/16,967 = 16,967/x
  3. Step 3: Cross multiply
    11,218x = 16,967 × 16,967
  4. Step 4: Simplify right side
    11,218x = 287,879,089
  5. Step 5: Solve for x
    x = 287,879,089/11,218
  6. Step 6: Final answer
    x = 25,662.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.