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Finding the Third Proportional to 20,102 and 29,745

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Solution

The third proportional to 20,102 and 29,745 is: 44,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102 : 29,745 = 29,745 : x
  2. Step 2: Convert to fraction form
    20,102/29,745 = 29,745/x
  3. Step 3: Cross multiply
    20,102x = 29,745 × 29,745
  4. Step 4: Simplify right side
    20,102x = 884,765,025
  5. Step 5: Solve for x
    x = 884,765,025/20,102
  6. Step 6: Final answer
    x = 44,013.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.