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Finding the Third Proportional to 20,091 and 29,727

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Solution

The third proportional to 20,091 and 29,727 is: 43,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091 : 29,727 = 29,727 : x
  2. Step 2: Convert to fraction form
    20,091/29,727 = 29,727/x
  3. Step 3: Cross multiply
    20,091x = 29,727 × 29,727
  4. Step 4: Simplify right side
    20,091x = 883,694,529
  5. Step 5: Solve for x
    x = 883,694,529/20,091
  6. Step 6: Final answer
    x = 43,984.60

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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.