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Finding the Third Proportional to 21,467.25 and 31,493.25

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Solution

The third proportional to 21,467.25 and 31,493.25 is: 46,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467.25 : 31,493.25 = 31,493.25 : x
  2. Step 2: Convert to fraction form
    21,467.25/31,493.25 = 31,493.25/x
  3. Step 3: Cross multiply
    21,467.25x = 31,493.25 × 31,493.25
  4. Step 4: Simplify right side
    21,467.25x = 991,824,795.56
  5. Step 5: Solve for x
    x = 991,824,795.56/21,467.25
  6. Step 6: Final answer
    x = 46,201.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.