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Finding the Third Proportional to 8,404 and 19,895

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Solution

The third proportional to 8,404 and 19,895 is: 47,097.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404 : 19,895 = 19,895 : x
  2. Step 2: Convert to fraction form
    8,404/19,895 = 19,895/x
  3. Step 3: Cross multiply
    8,404x = 19,895 × 19,895
  4. Step 4: Simplify right side
    8,404x = 395,811,025
  5. Step 5: Solve for x
    x = 395,811,025/8,404
  6. Step 6: Final answer
    x = 47,097.93

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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.