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Finding the Third Proportional to 33,066 and 51,435

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Solution

The third proportional to 33,066 and 51,435 is: 80,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,066 : 51,435 = 51,435 : x
  2. Step 2: Convert to fraction form
    33,066/51,435 = 51,435/x
  3. Step 3: Cross multiply
    33,066x = 51,435 × 51,435
  4. Step 4: Simplify right side
    33,066x = 2,645,559,225
  5. Step 5: Solve for x
    x = 2,645,559,225/33,066
  6. Step 6: Final answer
    x = 80,008.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.