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Finding the Third Proportional to 26,647 and 57,447

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Solution

The third proportional to 26,647 and 57,447 is: 123,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,647 : 57,447 = 57,447 : x
  2. Step 2: Convert to fraction form
    26,647/57,447 = 57,447/x
  3. Step 3: Cross multiply
    26,647x = 57,447 × 57,447
  4. Step 4: Simplify right side
    26,647x = 3,300,157,809
  5. Step 5: Solve for x
    x = 3,300,157,809/26,647
  6. Step 6: Final answer
    x = 123,847.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.