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Finding the Third Proportional to 11,431.41 and 24,957.56

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Solution

The third proportional to 11,431.41 and 24,957.56 is: 54,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.41 : 24,957.56 = 24,957.56 : x
  2. Step 2: Convert to fraction form
    11,431.41/24,957.56 = 24,957.56/x
  3. Step 3: Cross multiply
    11,431.41x = 24,957.56 × 24,957.56
  4. Step 4: Simplify right side
    11,431.41x = 622,879,925.94
  5. Step 5: Solve for x
    x = 622,879,925.94/11,431.41
  6. Step 6: Final answer
    x = 54,488.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.