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Finding the Third Proportional to 5,402 and 7,806

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Solution

The third proportional to 5,402 and 7,806 is: 11,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402 : 7,806 = 7,806 : x
  2. Step 2: Convert to fraction form
    5,402/7,806 = 7,806/x
  3. Step 3: Cross multiply
    5,402x = 7,806 × 7,806
  4. Step 4: Simplify right side
    5,402x = 60,933,636
  5. Step 5: Solve for x
    x = 60,933,636/5,402
  6. Step 6: Final answer
    x = 11,279.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.