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Finding the Third Proportional to 26,838 and 57,144

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Solution

The third proportional to 26,838 and 57,144 is: 121,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,838 : 57,144 = 57,144 : x
  2. Step 2: Convert to fraction form
    26,838/57,144 = 57,144/x
  3. Step 3: Cross multiply
    26,838x = 57,144 × 57,144
  4. Step 4: Simplify right side
    26,838x = 3,265,436,736
  5. Step 5: Solve for x
    x = 3,265,436,736/26,838
  6. Step 6: Final answer
    x = 121,672.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.