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Finding the Third Proportional to 4,996.69 and 10,395.84

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Solution

The third proportional to 4,996.69 and 10,395.84 is: 21,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.69 : 10,395.84 = 10,395.84 : x
  2. Step 2: Convert to fraction form
    4,996.69/10,395.84 = 10,395.84/x
  3. Step 3: Cross multiply
    4,996.69x = 10,395.84 × 10,395.84
  4. Step 4: Simplify right side
    4,996.69x = 108,073,567.27
  5. Step 5: Solve for x
    x = 108,073,567.27/4,996.69
  6. Step 6: Final answer
    x = 21,629.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.