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Finding the Third Proportional to 13,096.69 and 27,476.44

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Solution

The third proportional to 13,096.69 and 27,476.44 is: 57,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.69 : 27,476.44 = 27,476.44 : x
  2. Step 2: Convert to fraction form
    13,096.69/27,476.44 = 27,476.44/x
  3. Step 3: Cross multiply
    13,096.69x = 27,476.44 × 27,476.44
  4. Step 4: Simplify right side
    13,096.69x = 754,954,617.69
  5. Step 5: Solve for x
    x = 754,954,617.69/13,096.69
  6. Step 6: Final answer
    x = 57,644.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.