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Finding the Third Proportional to 5,299.75 and 11,510.75

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Solution

The third proportional to 5,299.75 and 11,510.75 is: 25,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.75 : 11,510.75 = 11,510.75 : x
  2. Step 2: Convert to fraction form
    5,299.75/11,510.75 = 11,510.75/x
  3. Step 3: Cross multiply
    5,299.75x = 11,510.75 × 11,510.75
  4. Step 4: Simplify right side
    5,299.75x = 132,497,365.56
  5. Step 5: Solve for x
    x = 132,497,365.56/5,299.75
  6. Step 6: Final answer
    x = 25,000.68

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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.