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Finding the Third Proportional to 13,493.25 and 20,649.94

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Solution

The third proportional to 13,493.25 and 20,649.94 is: 31,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.25 : 20,649.94 = 20,649.94 : x
  2. Step 2: Convert to fraction form
    13,493.25/20,649.94 = 20,649.94/x
  3. Step 3: Cross multiply
    13,493.25x = 20,649.94 × 20,649.94
  4. Step 4: Simplify right side
    13,493.25x = 426,419,918.75
  5. Step 5: Solve for x
    x = 426,419,918.75/13,493.25
  6. Step 6: Final answer
    x = 31,602.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.