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Finding the Third Proportional to 4,807 and 10,193

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Solution

The third proportional to 4,807 and 10,193 is: 21,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807 : 10,193 = 10,193 : x
  2. Step 2: Convert to fraction form
    4,807/10,193 = 10,193/x
  3. Step 3: Cross multiply
    4,807x = 10,193 × 10,193
  4. Step 4: Simplify right side
    4,807x = 103,897,249
  5. Step 5: Solve for x
    x = 103,897,249/4,807
  6. Step 6: Final answer
    x = 21,613.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.