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Finding the Third Proportional to 19,186 and 41,590

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Solution

The third proportional to 19,186 and 41,590 is: 90,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,186 : 41,590 = 41,590 : x
  2. Step 2: Convert to fraction form
    19,186/41,590 = 41,590/x
  3. Step 3: Cross multiply
    19,186x = 41,590 × 41,590
  4. Step 4: Simplify right side
    19,186x = 1,729,728,100
  5. Step 5: Solve for x
    x = 1,729,728,100/19,186
  6. Step 6: Final answer
    x = 90,155.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.