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Finding the Third Proportional to 2,546 and 3,806

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Solution

The third proportional to 2,546 and 3,806 is: 5,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546 : 3,806 = 3,806 : x
  2. Step 2: Convert to fraction form
    2,546/3,806 = 3,806/x
  3. Step 3: Cross multiply
    2,546x = 3,806 × 3,806
  4. Step 4: Simplify right side
    2,546x = 14,485,636
  5. Step 5: Solve for x
    x = 14,485,636/2,546
  6. Step 6: Final answer
    x = 5,689.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.