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Finding the Third Proportional to 19,668 and 31,436

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Solution

The third proportional to 19,668 and 31,436 is: 50,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668 : 31,436 = 31,436 : x
  2. Step 2: Convert to fraction form
    19,668/31,436 = 31,436/x
  3. Step 3: Cross multiply
    19,668x = 31,436 × 31,436
  4. Step 4: Simplify right side
    19,668x = 988,222,096
  5. Step 5: Solve for x
    x = 988,222,096/19,668
  6. Step 6: Final answer
    x = 50,245.17

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