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Finding the Third Proportional to 26,790.25 and 57,271

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Solution

The third proportional to 26,790.25 and 57,271 is: 122,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,790.25 : 57,271 = 57,271 : x
  2. Step 2: Convert to fraction form
    26,790.25/57,271 = 57,271/x
  3. Step 3: Cross multiply
    26,790.25x = 57,271 × 57,271
  4. Step 4: Simplify right side
    26,790.25x = 3,279,967,441
  5. Step 5: Solve for x
    x = 3,279,967,441/26,790.25
  6. Step 6: Final answer
    x = 122,431.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.