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Finding the Third Proportional to 24,892.31 and 37,258.73

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Solution

The third proportional to 24,892.31 and 37,258.73 is: 55,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.31 : 37,258.73 = 37,258.73 : x
  2. Step 2: Convert to fraction form
    24,892.31/37,258.73 = 37,258.73/x
  3. Step 3: Cross multiply
    24,892.31x = 37,258.73 × 37,258.73
  4. Step 4: Simplify right side
    24,892.31x = 1,388,213,287.23
  5. Step 5: Solve for x
    x = 1,388,213,287.23/24,892.31
  6. Step 6: Final answer
    x = 55,768.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.