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Finding the Third Proportional to 41,756 and 64,756

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Solution

The third proportional to 41,756 and 64,756 is: 100,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,756 : 64,756 = 64,756 : x
  2. Step 2: Convert to fraction form
    41,756/64,756 = 64,756/x
  3. Step 3: Cross multiply
    41,756x = 64,756 × 64,756
  4. Step 4: Simplify right side
    41,756x = 4,193,339,536
  5. Step 5: Solve for x
    x = 4,193,339,536/41,756
  6. Step 6: Final answer
    x = 100,424.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.