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Finding the Third Proportional to 4,806.84 and 6,412.92

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Solution

The third proportional to 4,806.84 and 6,412.92 is: 8,555.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.84 : 6,412.92 = 6,412.92 : x
  2. Step 2: Convert to fraction form
    4,806.84/6,412.92 = 6,412.92/x
  3. Step 3: Cross multiply
    4,806.84x = 6,412.92 × 6,412.92
  4. Step 4: Simplify right side
    4,806.84x = 41,125,566.97
  5. Step 5: Solve for x
    x = 41,125,566.97/4,806.84
  6. Step 6: Final answer
    x = 8,555.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.