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Finding the Third Proportional to 19,424 and 41,172

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Solution

The third proportional to 19,424 and 41,172 is: 87,270.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,424 : 41,172 = 41,172 : x
  2. Step 2: Convert to fraction form
    19,424/41,172 = 41,172/x
  3. Step 3: Cross multiply
    19,424x = 41,172 × 41,172
  4. Step 4: Simplify right side
    19,424x = 1,695,133,584
  5. Step 5: Solve for x
    x = 1,695,133,584/19,424
  6. Step 6: Final answer
    x = 87,270.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.