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Finding the Third Proportional to 20,254.50 and 31,434.75

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Solution

The third proportional to 20,254.50 and 31,434.75 is: 48,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.50 : 31,434.75 = 31,434.75 : x
  2. Step 2: Convert to fraction form
    20,254.50/31,434.75 = 31,434.75/x
  3. Step 3: Cross multiply
    20,254.50x = 31,434.75 × 31,434.75
  4. Step 4: Simplify right side
    20,254.50x = 988,143,507.56
  5. Step 5: Solve for x
    x = 988,143,507.56/20,254.50
  6. Step 6: Final answer
    x = 48,786.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.