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Finding the Third Proportional to 4,538 and 5,119

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Solution

The third proportional to 4,538 and 5,119 is: 5,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538 : 5,119 = 5,119 : x
  2. Step 2: Convert to fraction form
    4,538/5,119 = 5,119/x
  3. Step 3: Cross multiply
    4,538x = 5,119 × 5,119
  4. Step 4: Simplify right side
    4,538x = 26,204,161
  5. Step 5: Solve for x
    x = 26,204,161/4,538
  6. Step 6: Final answer
    x = 5,774.39

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.