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Finding the Third Proportional to 26,284 and 57,176

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Solution

The third proportional to 26,284 and 57,176 is: 124,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,284 : 57,176 = 57,176 : x
  2. Step 2: Convert to fraction form
    26,284/57,176 = 57,176/x
  3. Step 3: Cross multiply
    26,284x = 57,176 × 57,176
  4. Step 4: Simplify right side
    26,284x = 3,269,094,976
  5. Step 5: Solve for x
    x = 3,269,094,976/26,284
  6. Step 6: Final answer
    x = 124,375.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.