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Finding the Third Proportional to 4,619 and 9,481

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Solution

The third proportional to 4,619 and 9,481 is: 19,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,619 : 9,481 = 9,481 : x
  2. Step 2: Convert to fraction form
    4,619/9,481 = 9,481/x
  3. Step 3: Cross multiply
    4,619x = 9,481 × 9,481
  4. Step 4: Simplify right side
    4,619x = 89,889,361
  5. Step 5: Solve for x
    x = 89,889,361/4,619
  6. Step 6: Final answer
    x = 19,460.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.