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Finding the Third Proportional to 19,658 and 40,450

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Solution

The third proportional to 19,658 and 40,450 is: 83,233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658 : 40,450 = 40,450 : x
  2. Step 2: Convert to fraction form
    19,658/40,450 = 40,450/x
  3. Step 3: Cross multiply
    19,658x = 40,450 × 40,450
  4. Step 4: Simplify right side
    19,658x = 1,636,202,500
  5. Step 5: Solve for x
    x = 1,636,202,500/19,658
  6. Step 6: Final answer
    x = 83,233.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.