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Finding the Third Proportional to 11,007.84 and 14,745.94

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Solution

The third proportional to 11,007.84 and 14,745.94 is: 19,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.84 : 14,745.94 = 14,745.94 : x
  2. Step 2: Convert to fraction form
    11,007.84/14,745.94 = 14,745.94/x
  3. Step 3: Cross multiply
    11,007.84x = 14,745.94 × 14,745.94
  4. Step 4: Simplify right side
    11,007.84x = 217,442,672.75
  5. Step 5: Solve for x
    x = 217,442,672.75/11,007.84
  6. Step 6: Final answer
    x = 19,753.43

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.