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Finding the Third Proportional to 12,990.38 and 20,675.25

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Solution

The third proportional to 12,990.38 and 20,675.25 is: 32,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990.38 : 20,675.25 = 20,675.25 : x
  2. Step 2: Convert to fraction form
    12,990.38/20,675.25 = 20,675.25/x
  3. Step 3: Cross multiply
    12,990.38x = 20,675.25 × 20,675.25
  4. Step 4: Simplify right side
    12,990.38x = 427,465,962.56
  5. Step 5: Solve for x
    x = 427,465,962.56/12,990.38
  6. Step 6: Final answer
    x = 32,906.36

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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.