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Finding the Third Proportional to 20,043 and 43,317

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Solution

The third proportional to 20,043 and 43,317 is: 93,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043 : 43,317 = 43,317 : x
  2. Step 2: Convert to fraction form
    20,043/43,317 = 43,317/x
  3. Step 3: Cross multiply
    20,043x = 43,317 × 43,317
  4. Step 4: Simplify right side
    20,043x = 1,876,362,489
  5. Step 5: Solve for x
    x = 1,876,362,489/20,043
  6. Step 6: Final answer
    x = 93,616.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.