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Finding the Third Proportional to 20,505.50 and 31,666.94

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Solution

The third proportional to 20,505.50 and 31,666.94 is: 48,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.50 : 31,666.94 = 31,666.94 : x
  2. Step 2: Convert to fraction form
    20,505.50/31,666.94 = 31,666.94/x
  3. Step 3: Cross multiply
    20,505.50x = 31,666.94 × 31,666.94
  4. Step 4: Simplify right side
    20,505.50x = 1,002,794,930.63
  5. Step 5: Solve for x
    x = 1,002,794,930.63/20,505.50
  6. Step 6: Final answer
    x = 48,903.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.