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Finding the Third Proportional to 20,062 and 30,094

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Solution

The third proportional to 20,062 and 30,094 is: 45,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,062 : 30,094 = 30,094 : x
  2. Step 2: Convert to fraction form
    20,062/30,094 = 30,094/x
  3. Step 3: Cross multiply
    20,062x = 30,094 × 30,094
  4. Step 4: Simplify right side
    20,062x = 905,648,836
  5. Step 5: Solve for x
    x = 905,648,836/20,062
  6. Step 6: Final answer
    x = 45,142.50

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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.