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Finding the Third Proportional to 20,738 and 29,955

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Solution

The third proportional to 20,738 and 29,955 is: 43,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,738 : 29,955 = 29,955 : x
  2. Step 2: Convert to fraction form
    20,738/29,955 = 29,955/x
  3. Step 3: Cross multiply
    20,738x = 29,955 × 29,955
  4. Step 4: Simplify right side
    20,738x = 897,302,025
  5. Step 5: Solve for x
    x = 897,302,025/20,738
  6. Step 6: Final answer
    x = 43,268.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.