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Finding the Third Proportional to 22,197 and 47,148

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Solution

The third proportional to 22,197 and 47,148 is: 100,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197 : 47,148 = 47,148 : x
  2. Step 2: Convert to fraction form
    22,197/47,148 = 47,148/x
  3. Step 3: Cross multiply
    22,197x = 47,148 × 47,148
  4. Step 4: Simplify right side
    22,197x = 2,222,933,904
  5. Step 5: Solve for x
    x = 2,222,933,904/22,197
  6. Step 6: Final answer
    x = 100,145.69

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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.