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Finding the Third Proportional to 17,147.63 and 22,758.75

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Solution

The third proportional to 17,147.63 and 22,758.75 is: 30,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147.63 : 22,758.75 = 22,758.75 : x
  2. Step 2: Convert to fraction form
    17,147.63/22,758.75 = 22,758.75/x
  3. Step 3: Cross multiply
    17,147.63x = 22,758.75 × 22,758.75
  4. Step 4: Simplify right side
    17,147.63x = 517,960,701.56
  5. Step 5: Solve for x
    x = 517,960,701.56/17,147.63
  6. Step 6: Final answer
    x = 30,205.97

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.