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Finding the Third Proportional to 18,004 and 37,828

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Solution

The third proportional to 18,004 and 37,828 is: 79,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,004 : 37,828 = 37,828 : x
  2. Step 2: Convert to fraction form
    18,004/37,828 = 37,828/x
  3. Step 3: Cross multiply
    18,004x = 37,828 × 37,828
  4. Step 4: Simplify right side
    18,004x = 1,430,957,584
  5. Step 5: Solve for x
    x = 1,430,957,584/18,004
  6. Step 6: Final answer
    x = 79,479.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.