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Finding the Third Proportional to 2,419 and 4,538

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Solution

The third proportional to 2,419 and 4,538 is: 8,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419 : 4,538 = 4,538 : x
  2. Step 2: Convert to fraction form
    2,419/4,538 = 4,538/x
  3. Step 3: Cross multiply
    2,419x = 4,538 × 4,538
  4. Step 4: Simplify right side
    2,419x = 20,593,444
  5. Step 5: Solve for x
    x = 20,593,444/2,419
  6. Step 6: Final answer
    x = 8,513.21

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.