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Finding the Third Proportional to 19,412 and 41,164

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Solution

The third proportional to 19,412 and 41,164 is: 87,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412 : 41,164 = 41,164 : x
  2. Step 2: Convert to fraction form
    19,412/41,164 = 41,164/x
  3. Step 3: Cross multiply
    19,412x = 41,164 × 41,164
  4. Step 4: Simplify right side
    19,412x = 1,694,474,896
  5. Step 5: Solve for x
    x = 1,694,474,896/19,412
  6. Step 6: Final answer
    x = 87,290.07

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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.