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Finding the Third Proportional to 8,462 and 20,363

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Solution

The third proportional to 8,462 and 20,363 is: 49,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462 : 20,363 = 20,363 : x
  2. Step 2: Convert to fraction form
    8,462/20,363 = 20,363/x
  3. Step 3: Cross multiply
    8,462x = 20,363 × 20,363
  4. Step 4: Simplify right side
    8,462x = 414,651,769
  5. Step 5: Solve for x
    x = 414,651,769/8,462
  6. Step 6: Final answer
    x = 49,001.63

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.