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Finding the Third Proportional to 36,858.50 and 55,229

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Solution

The third proportional to 36,858.50 and 55,229 is: 82,755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,858.50 : 55,229 = 55,229 : x
  2. Step 2: Convert to fraction form
    36,858.50/55,229 = 55,229/x
  3. Step 3: Cross multiply
    36,858.50x = 55,229 × 55,229
  4. Step 4: Simplify right side
    36,858.50x = 3,050,242,441
  5. Step 5: Solve for x
    x = 3,050,242,441/36,858.50
  6. Step 6: Final answer
    x = 82,755.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.