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Finding the Third Proportional to 4,708 and 7,806

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Solution

The third proportional to 4,708 and 7,806 is: 12,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708 : 7,806 = 7,806 : x
  2. Step 2: Convert to fraction form
    4,708/7,806 = 7,806/x
  3. Step 3: Cross multiply
    4,708x = 7,806 × 7,806
  4. Step 4: Simplify right side
    4,708x = 60,933,636
  5. Step 5: Solve for x
    x = 60,933,636/4,708
  6. Step 6: Final answer
    x = 12,942.57

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.