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Finding the Third Proportional to 20,142 and 30,912

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Solution

The third proportional to 20,142 and 30,912 is: 47,440.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 30,912 = 30,912 : x
  2. Step 2: Convert to fraction form
    20,142/30,912 = 30,912/x
  3. Step 3: Cross multiply
    20,142x = 30,912 × 30,912
  4. Step 4: Simplify right side
    20,142x = 955,551,744
  5. Step 5: Solve for x
    x = 955,551,744/20,142
  6. Step 6: Final answer
    x = 47,440.76

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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.