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Finding the Third Proportional to 4,830.12 and 10,179.07

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Solution

The third proportional to 4,830.12 and 10,179.07 is: 21,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.12 : 10,179.07 = 10,179.07 : x
  2. Step 2: Convert to fraction form
    4,830.12/10,179.07 = 10,179.07/x
  3. Step 3: Cross multiply
    4,830.12x = 10,179.07 × 10,179.07
  4. Step 4: Simplify right side
    4,830.12x = 103,613,472.43
  5. Step 5: Solve for x
    x = 103,613,472.43/4,830.12
  6. Step 6: Final answer
    x = 21,451.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.