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Finding the Third Proportional to 33,153.75 and 77,658.75

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Solution

The third proportional to 33,153.75 and 77,658.75 is: 181,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.75 : 77,658.75 = 77,658.75 : x
  2. Step 2: Convert to fraction form
    33,153.75/77,658.75 = 77,658.75/x
  3. Step 3: Cross multiply
    33,153.75x = 77,658.75 × 77,658.75
  4. Step 4: Simplify right side
    33,153.75x = 6,030,881,451.56
  5. Step 5: Solve for x
    x = 6,030,881,451.56/33,153.75
  6. Step 6: Final answer
    x = 181,906.46

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.