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Finding the Third Proportional to 20,156 and 30,093

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Solution

The third proportional to 20,156 and 30,093 is: 44,928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156 : 30,093 = 30,093 : x
  2. Step 2: Convert to fraction form
    20,156/30,093 = 30,093/x
  3. Step 3: Cross multiply
    20,156x = 30,093 × 30,093
  4. Step 4: Simplify right side
    20,156x = 905,588,649
  5. Step 5: Solve for x
    x = 905,588,649/20,156
  6. Step 6: Final answer
    x = 44,928.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.