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Finding the Third Proportional to 20,888 and 28,644

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Solution

The third proportional to 20,888 and 28,644 is: 39,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888 : 28,644 = 28,644 : x
  2. Step 2: Convert to fraction form
    20,888/28,644 = 28,644/x
  3. Step 3: Cross multiply
    20,888x = 28,644 × 28,644
  4. Step 4: Simplify right side
    20,888x = 820,478,736
  5. Step 5: Solve for x
    x = 820,478,736/20,888
  6. Step 6: Final answer
    x = 39,279.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.