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Finding the Third Proportional to 11,838.38 and 25,522.31

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Solution

The third proportional to 11,838.38 and 25,522.31 is: 55,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.38 : 25,522.31 = 25,522.31 : x
  2. Step 2: Convert to fraction form
    11,838.38/25,522.31 = 25,522.31/x
  3. Step 3: Cross multiply
    11,838.38x = 25,522.31 × 25,522.31
  4. Step 4: Simplify right side
    11,838.38x = 651,388,435.35
  5. Step 5: Solve for x
    x = 651,388,435.35/11,838.38
  6. Step 6: Final answer
    x = 55,023.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.