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Finding the Third Proportional to 33,415.50 and 72,285

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Solution

The third proportional to 33,415.50 and 72,285 is: 156,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,415.50 : 72,285 = 72,285 : x
  2. Step 2: Convert to fraction form
    33,415.50/72,285 = 72,285/x
  3. Step 3: Cross multiply
    33,415.50x = 72,285 × 72,285
  4. Step 4: Simplify right side
    33,415.50x = 5,225,121,225
  5. Step 5: Solve for x
    x = 5,225,121,225/33,415.50
  6. Step 6: Final answer
    x = 156,368.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.