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Finding the Third Proportional to 13,756.71 and 20,665.44

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Solution

The third proportional to 13,756.71 and 20,665.44 is: 31,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.71 : 20,665.44 = 20,665.44 : x
  2. Step 2: Convert to fraction form
    13,756.71/20,665.44 = 20,665.44/x
  3. Step 3: Cross multiply
    13,756.71x = 20,665.44 × 20,665.44
  4. Step 4: Simplify right side
    13,756.71x = 427,060,468.52
  5. Step 5: Solve for x
    x = 427,060,468.52/13,756.71
  6. Step 6: Final answer
    x = 31,043.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.