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Finding the Third Proportional to 19,196 and 41,416

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Solution

The third proportional to 19,196 and 41,416 is: 89,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,196 : 41,416 = 41,416 : x
  2. Step 2: Convert to fraction form
    19,196/41,416 = 41,416/x
  3. Step 3: Cross multiply
    19,196x = 41,416 × 41,416
  4. Step 4: Simplify right side
    19,196x = 1,715,285,056
  5. Step 5: Solve for x
    x = 1,715,285,056/19,196
  6. Step 6: Final answer
    x = 89,356.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.