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Finding the Third Proportional to 20,464 and 43,832

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Solution

The third proportional to 20,464 and 43,832 is: 93,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464 : 43,832 = 43,832 : x
  2. Step 2: Convert to fraction form
    20,464/43,832 = 43,832/x
  3. Step 3: Cross multiply
    20,464x = 43,832 × 43,832
  4. Step 4: Simplify right side
    20,464x = 1,921,244,224
  5. Step 5: Solve for x
    x = 1,921,244,224/20,464
  6. Step 6: Final answer
    x = 93,884.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.