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Finding the Third Proportional to 20,232 and 29,844

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Solution

The third proportional to 20,232 and 29,844 is: 44,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232 : 29,844 = 29,844 : x
  2. Step 2: Convert to fraction form
    20,232/29,844 = 29,844/x
  3. Step 3: Cross multiply
    20,232x = 29,844 × 29,844
  4. Step 4: Simplify right side
    20,232x = 890,664,336
  5. Step 5: Solve for x
    x = 890,664,336/20,232
  6. Step 6: Final answer
    x = 44,022.56

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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.