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Finding the Third Proportional to 4,806.84 and 7,739.30

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Solution

The third proportional to 4,806.84 and 7,739.30 is: 12,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.84 : 7,739.30 = 7,739.30 : x
  2. Step 2: Convert to fraction form
    4,806.84/7,739.30 = 7,739.30/x
  3. Step 3: Cross multiply
    4,806.84x = 7,739.30 × 7,739.30
  4. Step 4: Simplify right side
    4,806.84x = 59,896,716.12
  5. Step 5: Solve for x
    x = 59,896,716.12/4,806.84
  6. Step 6: Final answer
    x = 12,460.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.