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Finding the Third Proportional to 40,536 and 64,757

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Solution

The third proportional to 40,536 and 64,757 is: 103,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,536 : 64,757 = 64,757 : x
  2. Step 2: Convert to fraction form
    40,536/64,757 = 64,757/x
  3. Step 3: Cross multiply
    40,536x = 64,757 × 64,757
  4. Step 4: Simplify right side
    40,536x = 4,193,469,049
  5. Step 5: Solve for x
    x = 4,193,469,049/40,536
  6. Step 6: Final answer
    x = 103,450.49

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.