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Finding the Third Proportional to 19,923 and 43,357

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Solution

The third proportional to 19,923 and 43,357 is: 94,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923 : 43,357 = 43,357 : x
  2. Step 2: Convert to fraction form
    19,923/43,357 = 43,357/x
  3. Step 3: Cross multiply
    19,923x = 43,357 × 43,357
  4. Step 4: Simplify right side
    19,923x = 1,879,829,449
  5. Step 5: Solve for x
    x = 1,879,829,449/19,923
  6. Step 6: Final answer
    x = 94,354.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.