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Finding the Third Proportional to 19,838 and 41,622

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Solution

The third proportional to 19,838 and 41,622 is: 87,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838 : 41,622 = 41,622 : x
  2. Step 2: Convert to fraction form
    19,838/41,622 = 41,622/x
  3. Step 3: Cross multiply
    19,838x = 41,622 × 41,622
  4. Step 4: Simplify right side
    19,838x = 1,732,390,884
  5. Step 5: Solve for x
    x = 1,732,390,884/19,838
  6. Step 6: Final answer
    x = 87,326.89

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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.