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Finding the Third Proportional to 11,688 and 26,843

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Solution

The third proportional to 11,688 and 26,843 is: 61,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688 : 26,843 = 26,843 : x
  2. Step 2: Convert to fraction form
    11,688/26,843 = 26,843/x
  3. Step 3: Cross multiply
    11,688x = 26,843 × 26,843
  4. Step 4: Simplify right side
    11,688x = 720,546,649
  5. Step 5: Solve for x
    x = 720,546,649/11,688
  6. Step 6: Final answer
    x = 61,648.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.