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Finding the Third Proportional to 11,719.53 and 19,040.85

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Solution

The third proportional to 11,719.53 and 19,040.85 is: 30,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.53 : 19,040.85 = 19,040.85 : x
  2. Step 2: Convert to fraction form
    11,719.53/19,040.85 = 19,040.85/x
  3. Step 3: Cross multiply
    11,719.53x = 19,040.85 × 19,040.85
  4. Step 4: Simplify right side
    11,719.53x = 362,554,102.60
  5. Step 5: Solve for x
    x = 362,554,102.60/11,719.53
  6. Step 6: Final answer
    x = 30,935.89

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.