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Finding the Third Proportional to 20,083 and 30,064

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Solution

The third proportional to 20,083 and 30,064 is: 45,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083 : 30,064 = 30,064 : x
  2. Step 2: Convert to fraction form
    20,083/30,064 = 30,064/x
  3. Step 3: Cross multiply
    20,083x = 30,064 × 30,064
  4. Step 4: Simplify right side
    20,083x = 903,844,096
  5. Step 5: Solve for x
    x = 903,844,096/20,083
  6. Step 6: Final answer
    x = 45,005.43

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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.