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Finding the Third Proportional to 51,632.44 and 76,489.31

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Solution

The third proportional to 51,632.44 and 76,489.31 is: 113,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,632.44 : 76,489.31 = 76,489.31 : x
  2. Step 2: Convert to fraction form
    51,632.44/76,489.31 = 76,489.31/x
  3. Step 3: Cross multiply
    51,632.44x = 76,489.31 × 76,489.31
  4. Step 4: Simplify right side
    51,632.44x = 5,850,614,926.72
  5. Step 5: Solve for x
    x = 5,850,614,926.72/51,632.44
  6. Step 6: Final answer
    x = 113,312.78

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.