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Finding the Third Proportional to 14,164 and 31,188

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Solution

The third proportional to 14,164 and 31,188 is: 68,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164 : 31,188 = 31,188 : x
  2. Step 2: Convert to fraction form
    14,164/31,188 = 31,188/x
  3. Step 3: Cross multiply
    14,164x = 31,188 × 31,188
  4. Step 4: Simplify right side
    14,164x = 972,691,344
  5. Step 5: Solve for x
    x = 972,691,344/14,164
  6. Step 6: Final answer
    x = 68,673.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.