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Finding the Third Proportional to 26,214 and 54,858

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Solution

The third proportional to 26,214 and 54,858 is: 114,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,214 : 54,858 = 54,858 : x
  2. Step 2: Convert to fraction form
    26,214/54,858 = 54,858/x
  3. Step 3: Cross multiply
    26,214x = 54,858 × 54,858
  4. Step 4: Simplify right side
    26,214x = 3,009,400,164
  5. Step 5: Solve for x
    x = 3,009,400,164/26,214
  6. Step 6: Final answer
    x = 114,801.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.