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Finding the Third Proportional to 20,036 and 29,984

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Solution

The third proportional to 20,036 and 29,984 is: 44,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,036 : 29,984 = 29,984 : x
  2. Step 2: Convert to fraction form
    20,036/29,984 = 29,984/x
  3. Step 3: Cross multiply
    20,036x = 29,984 × 29,984
  4. Step 4: Simplify right side
    20,036x = 899,040,256
  5. Step 5: Solve for x
    x = 899,040,256/20,036
  6. Step 6: Final answer
    x = 44,871.24

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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.