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Finding the Third Proportional to 13,089 and 26,873

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Solution

The third proportional to 13,089 and 26,873 is: 55,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089 : 26,873 = 26,873 : x
  2. Step 2: Convert to fraction form
    13,089/26,873 = 26,873/x
  3. Step 3: Cross multiply
    13,089x = 26,873 × 26,873
  4. Step 4: Simplify right side
    13,089x = 722,158,129
  5. Step 5: Solve for x
    x = 722,158,129/13,089
  6. Step 6: Final answer
    x = 55,172.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.