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Finding the Third Proportional to 18,819 and 33,966

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Solution

The third proportional to 18,819 and 33,966 is: 61,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,819 : 33,966 = 33,966 : x
  2. Step 2: Convert to fraction form
    18,819/33,966 = 33,966/x
  3. Step 3: Cross multiply
    18,819x = 33,966 × 33,966
  4. Step 4: Simplify right side
    18,819x = 1,153,689,156
  5. Step 5: Solve for x
    x = 1,153,689,156/18,819
  6. Step 6: Final answer
    x = 61,304.49

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.