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Finding the Third Proportional to 36,702.75 and 55,036.75

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Solution

The third proportional to 36,702.75 and 55,036.75 is: 82,529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,702.75 : 55,036.75 = 55,036.75 : x
  2. Step 2: Convert to fraction form
    36,702.75/55,036.75 = 55,036.75/x
  3. Step 3: Cross multiply
    36,702.75x = 55,036.75 × 55,036.75
  4. Step 4: Simplify right side
    36,702.75x = 3,029,043,850.56
  5. Step 5: Solve for x
    x = 3,029,043,850.56/36,702.75
  6. Step 6: Final answer
    x = 82,529.07

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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.