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Finding the Third Proportional to 8,434 and 19,701

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Solution

The third proportional to 8,434 and 19,701 is: 46,019.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434 : 19,701 = 19,701 : x
  2. Step 2: Convert to fraction form
    8,434/19,701 = 19,701/x
  3. Step 3: Cross multiply
    8,434x = 19,701 × 19,701
  4. Step 4: Simplify right side
    8,434x = 388,129,401
  5. Step 5: Solve for x
    x = 388,129,401/8,434
  6. Step 6: Final answer
    x = 46,019.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.