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Finding the Third Proportional to 10,759.75 and 23,306.75

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Solution

The third proportional to 10,759.75 and 23,306.75 is: 50,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.75 : 23,306.75 = 23,306.75 : x
  2. Step 2: Convert to fraction form
    10,759.75/23,306.75 = 23,306.75/x
  3. Step 3: Cross multiply
    10,759.75x = 23,306.75 × 23,306.75
  4. Step 4: Simplify right side
    10,759.75x = 543,204,595.56
  5. Step 5: Solve for x
    x = 543,204,595.56/10,759.75
  6. Step 6: Final answer
    x = 50,484.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.