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Finding the Third Proportional to 21,596 and 47,193

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Solution

The third proportional to 21,596 and 47,193 is: 103,129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,596 : 47,193 = 47,193 : x
  2. Step 2: Convert to fraction form
    21,596/47,193 = 47,193/x
  3. Step 3: Cross multiply
    21,596x = 47,193 × 47,193
  4. Step 4: Simplify right side
    21,596x = 2,227,179,249
  5. Step 5: Solve for x
    x = 2,227,179,249/21,596
  6. Step 6: Final answer
    x = 103,129.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.