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Finding the Third Proportional to 13,711.46 and 20,477.50

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Solution

The third proportional to 13,711.46 and 20,477.50 is: 30,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.46 : 20,477.50 = 20,477.50 : x
  2. Step 2: Convert to fraction form
    13,711.46/20,477.50 = 20,477.50/x
  3. Step 3: Cross multiply
    13,711.46x = 20,477.50 × 20,477.50
  4. Step 4: Simplify right side
    13,711.46x = 419,327,846.27
  5. Step 5: Solve for x
    x = 419,327,846.27/13,711.46
  6. Step 6: Final answer
    x = 30,582.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.