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Finding the Third Proportional to 8,996.06 and 19,629.84

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Solution

The third proportional to 8,996.06 and 19,629.84 is: 42,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,996.06 : 19,629.84 = 19,629.84 : x
  2. Step 2: Convert to fraction form
    8,996.06/19,629.84 = 19,629.84/x
  3. Step 3: Cross multiply
    8,996.06x = 19,629.84 × 19,629.84
  4. Step 4: Simplify right side
    8,996.06x = 385,330,765.65
  5. Step 5: Solve for x
    x = 385,330,765.65/8,996.06
  6. Step 6: Final answer
    x = 42,833.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.