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Finding the Third Proportional to 10,388.67 and 22,964.34

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Solution

The third proportional to 10,388.67 and 22,964.34 is: 50,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.67 : 22,964.34 = 22,964.34 : x
  2. Step 2: Convert to fraction form
    10,388.67/22,964.34 = 22,964.34/x
  3. Step 3: Cross multiply
    10,388.67x = 22,964.34 × 22,964.34
  4. Step 4: Simplify right side
    10,388.67x = 527,361,083.87
  5. Step 5: Solve for x
    x = 527,361,083.87/10,388.67
  6. Step 6: Final answer
    x = 50,763.09

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.