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Finding the Third Proportional to 10,324.13 and 22,914.56

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Solution

The third proportional to 10,324.13 and 22,914.56 is: 50,859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.13 : 22,914.56 = 22,914.56 : x
  2. Step 2: Convert to fraction form
    10,324.13/22,914.56 = 22,914.56/x
  3. Step 3: Cross multiply
    10,324.13x = 22,914.56 × 22,914.56
  4. Step 4: Simplify right side
    10,324.13x = 525,077,174.57
  5. Step 5: Solve for x
    x = 525,077,174.57/10,324.13
  6. Step 6: Final answer
    x = 50,859.24

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.