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Finding the Third Proportional to 10,964.90 and 16,556.27

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Solution

The third proportional to 10,964.90 and 16,556.27 is: 24,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.90 : 16,556.27 = 16,556.27 : x
  2. Step 2: Convert to fraction form
    10,964.90/16,556.27 = 16,556.27/x
  3. Step 3: Cross multiply
    10,964.90x = 16,556.27 × 16,556.27
  4. Step 4: Simplify right side
    10,964.90x = 274,110,190.14
  5. Step 5: Solve for x
    x = 274,110,190.14/10,964.90
  6. Step 6: Final answer
    x = 24,998.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.