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Finding the Third Proportional to 33,045 and 53,195.25

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Solution

The third proportional to 33,045 and 53,195.25 is: 85,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,045 : 53,195.25 = 53,195.25 : x
  2. Step 2: Convert to fraction form
    33,045/53,195.25 = 53,195.25/x
  3. Step 3: Cross multiply
    33,045x = 53,195.25 × 53,195.25
  4. Step 4: Simplify right side
    33,045x = 2,829,734,622.56
  5. Step 5: Solve for x
    x = 2,829,734,622.56/33,045
  6. Step 6: Final answer
    x = 85,632.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.