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Finding the Third Proportional to 9,045.75 and 19,224.75

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Solution

The third proportional to 9,045.75 and 19,224.75 is: 40,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.75 : 19,224.75 = 19,224.75 : x
  2. Step 2: Convert to fraction form
    9,045.75/19,224.75 = 19,224.75/x
  3. Step 3: Cross multiply
    9,045.75x = 19,224.75 × 19,224.75
  4. Step 4: Simplify right side
    9,045.75x = 369,591,012.56
  5. Step 5: Solve for x
    x = 369,591,012.56/9,045.75
  6. Step 6: Final answer
    x = 40,857.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.