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Finding the Third Proportional to 22,134 and 47,196

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Solution

The third proportional to 22,134 and 47,196 is: 100,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,134 : 47,196 = 47,196 : x
  2. Step 2: Convert to fraction form
    22,134/47,196 = 47,196/x
  3. Step 3: Cross multiply
    22,134x = 47,196 × 47,196
  4. Step 4: Simplify right side
    22,134x = 2,227,462,416
  5. Step 5: Solve for x
    x = 2,227,462,416/22,134
  6. Step 6: Final answer
    x = 100,635.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.