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Finding the Third Proportional to 4,782.99 and 7,179.30

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Solution

The third proportional to 4,782.99 and 7,179.30 is: 10,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.99 : 7,179.30 = 7,179.30 : x
  2. Step 2: Convert to fraction form
    4,782.99/7,179.30 = 7,179.30/x
  3. Step 3: Cross multiply
    4,782.99x = 7,179.30 × 7,179.30
  4. Step 4: Simplify right side
    4,782.99x = 51,542,310.63
  5. Step 5: Solve for x
    x = 51,542,310.63/4,782.99
  6. Step 6: Final answer
    x = 10,776.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.