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Finding the Third Proportional to 26,976 and 57,152

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Solution

The third proportional to 26,976 and 57,152 is: 121,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,976 : 57,152 = 57,152 : x
  2. Step 2: Convert to fraction form
    26,976/57,152 = 57,152/x
  3. Step 3: Cross multiply
    26,976x = 57,152 × 57,152
  4. Step 4: Simplify right side
    26,976x = 3,266,351,104
  5. Step 5: Solve for x
    x = 3,266,351,104/26,976
  6. Step 6: Final answer
    x = 121,083.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.