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Finding the Third Proportional to 19,119 and 41,169

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Solution

The third proportional to 19,119 and 41,169 is: 88,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,119 : 41,169 = 41,169 : x
  2. Step 2: Convert to fraction form
    19,119/41,169 = 41,169/x
  3. Step 3: Cross multiply
    19,119x = 41,169 × 41,169
  4. Step 4: Simplify right side
    19,119x = 1,694,886,561
  5. Step 5: Solve for x
    x = 1,694,886,561/19,119
  6. Step 6: Final answer
    x = 88,649.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.