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Finding the Third Proportional to 11,802.09 and 25,658.44

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Solution

The third proportional to 11,802.09 and 25,658.44 is: 55,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.09 : 25,658.44 = 25,658.44 : x
  2. Step 2: Convert to fraction form
    11,802.09/25,658.44 = 25,658.44/x
  3. Step 3: Cross multiply
    11,802.09x = 25,658.44 × 25,658.44
  4. Step 4: Simplify right side
    11,802.09x = 658,355,414.94
  5. Step 5: Solve for x
    x = 658,355,414.94/11,802.09
  6. Step 6: Final answer
    x = 55,782.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.