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Finding the Third Proportional to 36,756 and 53,715.38

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Solution

The third proportional to 36,756 and 53,715.38 is: 78,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,756 : 53,715.38 = 53,715.38 : x
  2. Step 2: Convert to fraction form
    36,756/53,715.38 = 53,715.38/x
  3. Step 3: Cross multiply
    36,756x = 53,715.38 × 53,715.38
  4. Step 4: Simplify right side
    36,756x = 2,885,341,511.39
  5. Step 5: Solve for x
    x = 2,885,341,511.39/36,756
  6. Step 6: Final answer
    x = 78,499.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.