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Finding the Third Proportional to 19,183 and 42,829

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Solution

The third proportional to 19,183 and 42,829 is: 95,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183 : 42,829 = 42,829 : x
  2. Step 2: Convert to fraction form
    19,183/42,829 = 42,829/x
  3. Step 3: Cross multiply
    19,183x = 42,829 × 42,829
  4. Step 4: Simplify right side
    19,183x = 1,834,323,241
  5. Step 5: Solve for x
    x = 1,834,323,241/19,183
  6. Step 6: Final answer
    x = 95,622.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.