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Finding the Third Proportional to 20,322 and 43,463

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Solution

The third proportional to 20,322 and 43,463 is: 92,955.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322 : 43,463 = 43,463 : x
  2. Step 2: Convert to fraction form
    20,322/43,463 = 43,463/x
  3. Step 3: Cross multiply
    20,322x = 43,463 × 43,463
  4. Step 4: Simplify right side
    20,322x = 1,889,032,369
  5. Step 5: Solve for x
    x = 1,889,032,369/20,322
  6. Step 6: Final answer
    x = 92,955.04

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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.