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Finding the Third Proportional to 5,119 and 11,195

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Solution

The third proportional to 5,119 and 11,195 is: 24,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119 : 11,195 = 11,195 : x
  2. Step 2: Convert to fraction form
    5,119/11,195 = 11,195/x
  3. Step 3: Cross multiply
    5,119x = 11,195 × 11,195
  4. Step 4: Simplify right side
    5,119x = 125,328,025
  5. Step 5: Solve for x
    x = 125,328,025/5,119
  6. Step 6: Final answer
    x = 24,482.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.