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Finding the Third Proportional to 17,973 and 36,435

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Solution

The third proportional to 17,973 and 36,435 is: 73,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973 : 36,435 = 36,435 : x
  2. Step 2: Convert to fraction form
    17,973/36,435 = 36,435/x
  3. Step 3: Cross multiply
    17,973x = 36,435 × 36,435
  4. Step 4: Simplify right side
    17,973x = 1,327,509,225
  5. Step 5: Solve for x
    x = 1,327,509,225/17,973
  6. Step 6: Final answer
    x = 73,861.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.