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Finding the Third Proportional to 4,206 and 7,804

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Solution

The third proportional to 4,206 and 7,804 is: 14,479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206 : 7,804 = 7,804 : x
  2. Step 2: Convert to fraction form
    4,206/7,804 = 7,804/x
  3. Step 3: Cross multiply
    4,206x = 7,804 × 7,804
  4. Step 4: Simplify right side
    4,206x = 60,902,416
  5. Step 5: Solve for x
    x = 60,902,416/4,206
  6. Step 6: Final answer
    x = 14,479.89

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.