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Finding the Third Proportional to 14,885.25 and 20,505

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Solution

The third proportional to 14,885.25 and 20,505 is: 28,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,885.25 : 20,505 = 20,505 : x
  2. Step 2: Convert to fraction form
    14,885.25/20,505 = 20,505/x
  3. Step 3: Cross multiply
    14,885.25x = 20,505 × 20,505
  4. Step 4: Simplify right side
    14,885.25x = 420,455,025
  5. Step 5: Solve for x
    x = 420,455,025/14,885.25
  6. Step 6: Final answer
    x = 28,246.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.