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Finding the Third Proportional to 26,994 and 57,054

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Solution

The third proportional to 26,994 and 57,054 is: 120,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,994 : 57,054 = 57,054 : x
  2. Step 2: Convert to fraction form
    26,994/57,054 = 57,054/x
  3. Step 3: Cross multiply
    26,994x = 57,054 × 57,054
  4. Step 4: Simplify right side
    26,994x = 3,255,158,916
  5. Step 5: Solve for x
    x = 3,255,158,916/26,994
  6. Step 6: Final answer
    x = 120,588.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.