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Finding the Third Proportional to 19,494 and 41,652

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Solution

The third proportional to 19,494 and 41,652 is: 88,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494 : 41,652 = 41,652 : x
  2. Step 2: Convert to fraction form
    19,494/41,652 = 41,652/x
  3. Step 3: Cross multiply
    19,494x = 41,652 × 41,652
  4. Step 4: Simplify right side
    19,494x = 1,734,889,104
  5. Step 5: Solve for x
    x = 1,734,889,104/19,494
  6. Step 6: Final answer
    x = 88,996.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.