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Finding the Third Proportional to 2,119 and 4,635

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Solution

The third proportional to 2,119 and 4,635 is: 10,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119 : 4,635 = 4,635 : x
  2. Step 2: Convert to fraction form
    2,119/4,635 = 4,635/x
  3. Step 3: Cross multiply
    2,119x = 4,635 × 4,635
  4. Step 4: Simplify right side
    2,119x = 21,483,225
  5. Step 5: Solve for x
    x = 21,483,225/2,119
  6. Step 6: Final answer
    x = 10,138.38

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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.