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Finding the Third Proportional to 19,450 and 39,614

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Solution

The third proportional to 19,450 and 39,614 is: 80,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,450 : 39,614 = 39,614 : x
  2. Step 2: Convert to fraction form
    19,450/39,614 = 39,614/x
  3. Step 3: Cross multiply
    19,450x = 39,614 × 39,614
  4. Step 4: Simplify right side
    19,450x = 1,569,268,996
  5. Step 5: Solve for x
    x = 1,569,268,996/19,450
  6. Step 6: Final answer
    x = 80,682.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.