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Finding the Third Proportional to 10,578.03 and 23,231.94

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Solution

The third proportional to 10,578.03 and 23,231.94 is: 51,023.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.03 : 23,231.94 = 23,231.94 : x
  2. Step 2: Convert to fraction form
    10,578.03/23,231.94 = 23,231.94/x
  3. Step 3: Cross multiply
    10,578.03x = 23,231.94 × 23,231.94
  4. Step 4: Simplify right side
    10,578.03x = 539,722,920.00
  5. Step 5: Solve for x
    x = 539,722,920.00/10,578.03
  6. Step 6: Final answer
    x = 51,023.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.