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Finding the Third Proportional to 11,164 and 16,327

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Solution

The third proportional to 11,164 and 16,327 is: 23,877.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164 : 16,327 = 16,327 : x
  2. Step 2: Convert to fraction form
    11,164/16,327 = 16,327/x
  3. Step 3: Cross multiply
    11,164x = 16,327 × 16,327
  4. Step 4: Simplify right side
    11,164x = 266,570,929
  5. Step 5: Solve for x
    x = 266,570,929/11,164
  6. Step 6: Final answer
    x = 23,877.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.