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Finding the Third Proportional to 36,756 and 79,735

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Solution

The third proportional to 36,756 and 79,735 is: 172,969.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,756 : 79,735 = 79,735 : x
  2. Step 2: Convert to fraction form
    36,756/79,735 = 79,735/x
  3. Step 3: Cross multiply
    36,756x = 79,735 × 79,735
  4. Step 4: Simplify right side
    36,756x = 6,357,670,225
  5. Step 5: Solve for x
    x = 6,357,670,225/36,756
  6. Step 6: Final answer
    x = 172,969.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.