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Finding the Third Proportional to 19,190 and 41,152

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Solution

The third proportional to 19,190 and 41,152 is: 88,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,190 : 41,152 = 41,152 : x
  2. Step 2: Convert to fraction form
    19,190/41,152 = 41,152/x
  3. Step 3: Cross multiply
    19,190x = 41,152 × 41,152
  4. Step 4: Simplify right side
    19,190x = 1,693,487,104
  5. Step 5: Solve for x
    x = 1,693,487,104/19,190
  6. Step 6: Final answer
    x = 88,248.42

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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.