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Finding the Third Proportional to 11,580.47 and 16,640.44

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Solution

The third proportional to 11,580.47 and 16,640.44 is: 23,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.47 : 16,640.44 = 16,640.44 : x
  2. Step 2: Convert to fraction form
    11,580.47/16,640.44 = 16,640.44/x
  3. Step 3: Cross multiply
    11,580.47x = 16,640.44 × 16,640.44
  4. Step 4: Simplify right side
    11,580.47x = 276,904,160.19
  5. Step 5: Solve for x
    x = 276,904,160.19/11,580.47
  6. Step 6: Final answer
    x = 23,911.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.