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Finding the Third Proportional to 26,868 and 41,706

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Solution

The third proportional to 26,868 and 41,706 is: 64,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,868 : 41,706 = 41,706 : x
  2. Step 2: Convert to fraction form
    26,868/41,706 = 41,706/x
  3. Step 3: Cross multiply
    26,868x = 41,706 × 41,706
  4. Step 4: Simplify right side
    26,868x = 1,739,390,436
  5. Step 5: Solve for x
    x = 1,739,390,436/26,868
  6. Step 6: Final answer
    x = 64,738.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.