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Finding the Third Proportional to 8,356 and 19,793

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Solution

The third proportional to 8,356 and 19,793 is: 46,884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356 : 19,793 = 19,793 : x
  2. Step 2: Convert to fraction form
    8,356/19,793 = 19,793/x
  3. Step 3: Cross multiply
    8,356x = 19,793 × 19,793
  4. Step 4: Simplify right side
    8,356x = 391,762,849
  5. Step 5: Solve for x
    x = 391,762,849/8,356
  6. Step 6: Final answer
    x = 46,884.02

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.