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Finding the Third Proportional to 11,476.41 and 16,246.27

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Solution

The third proportional to 11,476.41 and 16,246.27 is: 22,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.41 : 16,246.27 = 16,246.27 : x
  2. Step 2: Convert to fraction form
    11,476.41/16,246.27 = 16,246.27/x
  3. Step 3: Cross multiply
    11,476.41x = 16,246.27 × 16,246.27
  4. Step 4: Simplify right side
    11,476.41x = 263,941,146.76
  5. Step 5: Solve for x
    x = 263,941,146.76/11,476.41
  6. Step 6: Final answer
    x = 22,998.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.