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Finding the Third Proportional to 28,190 and 42,193

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Solution

The third proportional to 28,190 and 42,193 is: 63,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,190 : 42,193 = 42,193 : x
  2. Step 2: Convert to fraction form
    28,190/42,193 = 42,193/x
  3. Step 3: Cross multiply
    28,190x = 42,193 × 42,193
  4. Step 4: Simplify right side
    28,190x = 1,780,249,249
  5. Step 5: Solve for x
    x = 1,780,249,249/28,190
  6. Step 6: Final answer
    x = 63,151.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.