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Finding the Third Proportional to 11,880 and 25,351.31

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Solution

The third proportional to 11,880 and 25,351.31 is: 54,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880 : 25,351.31 = 25,351.31 : x
  2. Step 2: Convert to fraction form
    11,880/25,351.31 = 25,351.31/x
  3. Step 3: Cross multiply
    11,880x = 25,351.31 × 25,351.31
  4. Step 4: Simplify right side
    11,880x = 642,689,045.47
  5. Step 5: Solve for x
    x = 642,689,045.47/11,880
  6. Step 6: Final answer
    x = 54,098.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.