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Finding the Third Proportional to 8,836.69 and 19,228.31

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Solution

The third proportional to 8,836.69 and 19,228.31 is: 41,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,836.69 : 19,228.31 = 19,228.31 : x
  2. Step 2: Convert to fraction form
    8,836.69/19,228.31 = 19,228.31/x
  3. Step 3: Cross multiply
    8,836.69x = 19,228.31 × 19,228.31
  4. Step 4: Simplify right side
    8,836.69x = 369,728,001.60
  5. Step 5: Solve for x
    x = 369,728,001.60/8,836.69
  6. Step 6: Final answer
    x = 41,840.11

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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.