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Finding the Third Proportional to 18,057.94 and 19,584.28

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Solution

The third proportional to 18,057.94 and 19,584.28 is: 21,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,057.94 : 19,584.28 = 19,584.28 : x
  2. Step 2: Convert to fraction form
    18,057.94/19,584.28 = 19,584.28/x
  3. Step 3: Cross multiply
    18,057.94x = 19,584.28 × 19,584.28
  4. Step 4: Simplify right side
    18,057.94x = 383,544,072.08
  5. Step 5: Solve for x
    x = 383,544,072.08/18,057.94
  6. Step 6: Final answer
    x = 21,239.64

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.