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Finding the Third Proportional to 26,916 and 53,144

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Solution

The third proportional to 26,916 and 53,144 is: 104,929.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,916 : 53,144 = 53,144 : x
  2. Step 2: Convert to fraction form
    26,916/53,144 = 53,144/x
  3. Step 3: Cross multiply
    26,916x = 53,144 × 53,144
  4. Step 4: Simplify right side
    26,916x = 2,824,284,736
  5. Step 5: Solve for x
    x = 2,824,284,736/26,916
  6. Step 6: Final answer
    x = 104,929.59

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.