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Finding the Third Proportional to 26,149 and 53,845

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Solution

The third proportional to 26,149 and 53,845 is: 110,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149 : 53,845 = 53,845 : x
  2. Step 2: Convert to fraction form
    26,149/53,845 = 53,845/x
  3. Step 3: Cross multiply
    26,149x = 53,845 × 53,845
  4. Step 4: Simplify right side
    26,149x = 2,899,284,025
  5. Step 5: Solve for x
    x = 2,899,284,025/26,149
  6. Step 6: Final answer
    x = 110,875.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.