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Finding the Third Proportional to 17,733.94 and 20,224.69

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Solution

The third proportional to 17,733.94 and 20,224.69 is: 23,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.94 : 20,224.69 = 20,224.69 : x
  2. Step 2: Convert to fraction form
    17,733.94/20,224.69 = 20,224.69/x
  3. Step 3: Cross multiply
    17,733.94x = 20,224.69 × 20,224.69
  4. Step 4: Simplify right side
    17,733.94x = 409,037,984.47
  5. Step 5: Solve for x
    x = 409,037,984.47/17,733.94
  6. Step 6: Final answer
    x = 23,065.27

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.