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Finding the Third Proportional to 23,685.54 and 51,829.88

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Solution

The third proportional to 23,685.54 and 51,829.88 is: 113,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.54 : 51,829.88 = 51,829.88 : x
  2. Step 2: Convert to fraction form
    23,685.54/51,829.88 = 51,829.88/x
  3. Step 3: Cross multiply
    23,685.54x = 51,829.88 × 51,829.88
  4. Step 4: Simplify right side
    23,685.54x = 2,686,335,942.52
  5. Step 5: Solve for x
    x = 2,686,335,942.52/23,685.54
  6. Step 6: Final answer
    x = 113,416.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.