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Finding the Third Proportional to 12,649.50 and 20,104.88

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Solution

The third proportional to 12,649.50 and 20,104.88 is: 31,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.50 : 20,104.88 = 20,104.88 : x
  2. Step 2: Convert to fraction form
    12,649.50/20,104.88 = 20,104.88/x
  3. Step 3: Cross multiply
    12,649.50x = 20,104.88 × 20,104.88
  4. Step 4: Simplify right side
    12,649.50x = 404,205,998.77
  5. Step 5: Solve for x
    x = 404,205,998.77/12,649.50
  6. Step 6: Final answer
    x = 31,954.31

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.