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Finding the Third Proportional to 36,277 and 75,835

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Solution

The third proportional to 36,277 and 75,835 is: 158,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,277 : 75,835 = 75,835 : x
  2. Step 2: Convert to fraction form
    36,277/75,835 = 75,835/x
  3. Step 3: Cross multiply
    36,277x = 75,835 × 75,835
  4. Step 4: Simplify right side
    36,277x = 5,750,947,225
  5. Step 5: Solve for x
    x = 5,750,947,225/36,277
  6. Step 6: Final answer
    x = 158,528.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.