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Finding the Third Proportional to 12,224.99 and 17,760.83

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Solution

The third proportional to 12,224.99 and 17,760.83 is: 25,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.99 : 17,760.83 = 17,760.83 : x
  2. Step 2: Convert to fraction form
    12,224.99/17,760.83 = 17,760.83/x
  3. Step 3: Cross multiply
    12,224.99x = 17,760.83 × 17,760.83
  4. Step 4: Simplify right side
    12,224.99x = 315,447,154.44
  5. Step 5: Solve for x
    x = 315,447,154.44/12,224.99
  6. Step 6: Final answer
    x = 25,803.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.