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Finding the Third Proportional to 21,915.63 and 31,010.44

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Solution

The third proportional to 21,915.63 and 31,010.44 is: 43,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,915.63 : 31,010.44 = 31,010.44 : x
  2. Step 2: Convert to fraction form
    21,915.63/31,010.44 = 31,010.44/x
  3. Step 3: Cross multiply
    21,915.63x = 31,010.44 × 31,010.44
  4. Step 4: Simplify right side
    21,915.63x = 961,647,233.94
  5. Step 5: Solve for x
    x = 961,647,233.94/21,915.63
  6. Step 6: Final answer
    x = 43,879.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.