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Finding the Third Proportional to 20,192 and 30,928

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Solution

The third proportional to 20,192 and 30,928 is: 47,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192 : 30,928 = 30,928 : x
  2. Step 2: Convert to fraction form
    20,192/30,928 = 30,928/x
  3. Step 3: Cross multiply
    20,192x = 30,928 × 30,928
  4. Step 4: Simplify right side
    20,192x = 956,541,184
  5. Step 5: Solve for x
    x = 956,541,184/20,192
  6. Step 6: Final answer
    x = 47,372.29

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