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Finding the Third Proportional to 5,742 and 13,806

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Solution

The third proportional to 5,742 and 13,806 is: 33,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 13,806 = 13,806 : x
  2. Step 2: Convert to fraction form
    5,742/13,806 = 13,806/x
  3. Step 3: Cross multiply
    5,742x = 13,806 × 13,806
  4. Step 4: Simplify right side
    5,742x = 190,605,636
  5. Step 5: Solve for x
    x = 190,605,636/5,742
  6. Step 6: Final answer
    x = 33,194.99

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.