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Finding the Third Proportional to 26,763 and 55,146

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Solution

The third proportional to 26,763 and 55,146 is: 113,630.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,763 : 55,146 = 55,146 : x
  2. Step 2: Convert to fraction form
    26,763/55,146 = 55,146/x
  3. Step 3: Cross multiply
    26,763x = 55,146 × 55,146
  4. Step 4: Simplify right side
    26,763x = 3,041,081,316
  5. Step 5: Solve for x
    x = 3,041,081,316/26,763
  6. Step 6: Final answer
    x = 113,630.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.