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Finding the Third Proportional to 36,232.50 and 57,267

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Solution

The third proportional to 36,232.50 and 57,267 is: 90,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,232.50 : 57,267 = 57,267 : x
  2. Step 2: Convert to fraction form
    36,232.50/57,267 = 57,267/x
  3. Step 3: Cross multiply
    36,232.50x = 57,267 × 57,267
  4. Step 4: Simplify right side
    36,232.50x = 3,279,509,289
  5. Step 5: Solve for x
    x = 3,279,509,289/36,232.50
  6. Step 6: Final answer
    x = 90,512.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.