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Finding the Third Proportional to 23,839.69 and 51,917.76

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Solution

The third proportional to 23,839.69 and 51,917.76 is: 113,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,839.69 : 51,917.76 = 51,917.76 : x
  2. Step 2: Convert to fraction form
    23,839.69/51,917.76 = 51,917.76/x
  3. Step 3: Cross multiply
    23,839.69x = 51,917.76 × 51,917.76
  4. Step 4: Simplify right side
    23,839.69x = 2,695,453,474.88
  5. Step 5: Solve for x
    x = 2,695,453,474.88/23,839.69
  6. Step 6: Final answer
    x = 113,065.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.