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Finding the Third Proportional to 11,470.36 and 16,761.94

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Solution

The third proportional to 11,470.36 and 16,761.94 is: 24,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.36 : 16,761.94 = 16,761.94 : x
  2. Step 2: Convert to fraction form
    11,470.36/16,761.94 = 16,761.94/x
  3. Step 3: Cross multiply
    11,470.36x = 16,761.94 × 16,761.94
  4. Step 4: Simplify right side
    11,470.36x = 280,962,548.75
  5. Step 5: Solve for x
    x = 280,962,548.75/11,470.36
  6. Step 6: Final answer
    x = 24,494.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.