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Finding the Third Proportional to 33,285 and 72,447.75

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Solution

The third proportional to 33,285 and 72,447.75 is: 157,688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,285 : 72,447.75 = 72,447.75 : x
  2. Step 2: Convert to fraction form
    33,285/72,447.75 = 72,447.75/x
  3. Step 3: Cross multiply
    33,285x = 72,447.75 × 72,447.75
  4. Step 4: Simplify right side
    33,285x = 5,248,676,480.06
  5. Step 5: Solve for x
    x = 5,248,676,480.06/33,285
  6. Step 6: Final answer
    x = 157,688.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.