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Finding the Third Proportional to 14,536.50 and 20,471.25

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Solution

The third proportional to 14,536.50 and 20,471.25 is: 28,828.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.50 : 20,471.25 = 20,471.25 : x
  2. Step 2: Convert to fraction form
    14,536.50/20,471.25 = 20,471.25/x
  3. Step 3: Cross multiply
    14,536.50x = 20,471.25 × 20,471.25
  4. Step 4: Simplify right side
    14,536.50x = 419,072,076.56
  5. Step 5: Solve for x
    x = 419,072,076.56/14,536.50
  6. Step 6: Final answer
    x = 28,828.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.