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Finding the Third Proportional to 26,451 and 55,094

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Solution

The third proportional to 26,451 and 55,094 is: 114,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,451 : 55,094 = 55,094 : x
  2. Step 2: Convert to fraction form
    26,451/55,094 = 55,094/x
  3. Step 3: Cross multiply
    26,451x = 55,094 × 55,094
  4. Step 4: Simplify right side
    26,451x = 3,035,348,836
  5. Step 5: Solve for x
    x = 3,035,348,836/26,451
  6. Step 6: Final answer
    x = 114,753.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.