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Finding the Third Proportional to 20,855 and 23,863

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Solution

The third proportional to 20,855 and 23,863 is: 27,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,855 : 23,863 = 23,863 : x
  2. Step 2: Convert to fraction form
    20,855/23,863 = 23,863/x
  3. Step 3: Cross multiply
    20,855x = 23,863 × 23,863
  4. Step 4: Simplify right side
    20,855x = 569,442,769
  5. Step 5: Solve for x
    x = 569,442,769/20,855
  6. Step 6: Final answer
    x = 27,304.86

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.