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Finding the Third Proportional to 36,495 and 55,728

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Solution

The third proportional to 36,495 and 55,728 is: 85,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,495 : 55,728 = 55,728 : x
  2. Step 2: Convert to fraction form
    36,495/55,728 = 55,728/x
  3. Step 3: Cross multiply
    36,495x = 55,728 × 55,728
  4. Step 4: Simplify right side
    36,495x = 3,105,609,984
  5. Step 5: Solve for x
    x = 3,105,609,984/36,495
  6. Step 6: Final answer
    x = 85,096.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.