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Finding the Third Proportional to 10,704.94 and 15,216.19

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Solution

The third proportional to 10,704.94 and 15,216.19 is: 21,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.94 : 15,216.19 = 15,216.19 : x
  2. Step 2: Convert to fraction form
    10,704.94/15,216.19 = 15,216.19/x
  3. Step 3: Cross multiply
    10,704.94x = 15,216.19 × 15,216.19
  4. Step 4: Simplify right side
    10,704.94x = 231,532,362.04
  5. Step 5: Solve for x
    x = 231,532,362.04/10,704.94
  6. Step 6: Final answer
    x = 21,628.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.