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Finding the Third Proportional to 23,788.69 and 51,676.73

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Solution

The third proportional to 23,788.69 and 51,676.73 is: 112,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.69 : 51,676.73 = 51,676.73 : x
  2. Step 2: Convert to fraction form
    23,788.69/51,676.73 = 51,676.73/x
  3. Step 3: Cross multiply
    23,788.69x = 51,676.73 × 51,676.73
  4. Step 4: Simplify right side
    23,788.69x = 2,670,484,875.66
  5. Step 5: Solve for x
    x = 2,670,484,875.66/23,788.69
  6. Step 6: Final answer
    x = 112,258.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.