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Finding the Third Proportional to 19,124 and 41,176

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Solution

The third proportional to 19,124 and 41,176 is: 88,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,124 : 41,176 = 41,176 : x
  2. Step 2: Convert to fraction form
    19,124/41,176 = 41,176/x
  3. Step 3: Cross multiply
    19,124x = 41,176 × 41,176
  4. Step 4: Simplify right side
    19,124x = 1,695,462,976
  5. Step 5: Solve for x
    x = 1,695,462,976/19,124
  6. Step 6: Final answer
    x = 88,656.29

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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.