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Finding the Third Proportional to 33,669 and 51,405

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Solution

The third proportional to 33,669 and 51,405 is: 78,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,669 : 51,405 = 51,405 : x
  2. Step 2: Convert to fraction form
    33,669/51,405 = 51,405/x
  3. Step 3: Cross multiply
    33,669x = 51,405 × 51,405
  4. Step 4: Simplify right side
    33,669x = 2,642,474,025
  5. Step 5: Solve for x
    x = 2,642,474,025/33,669
  6. Step 6: Final answer
    x = 78,483.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.