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Finding the Third Proportional to 19,735 and 30,190

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Solution

The third proportional to 19,735 and 30,190 is: 46,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735 : 30,190 = 30,190 : x
  2. Step 2: Convert to fraction form
    19,735/30,190 = 30,190/x
  3. Step 3: Cross multiply
    19,735x = 30,190 × 30,190
  4. Step 4: Simplify right side
    19,735x = 911,436,100
  5. Step 5: Solve for x
    x = 911,436,100/19,735
  6. Step 6: Final answer
    x = 46,183.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.