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Finding the Third Proportional to 20,241.50 and 31,686.75

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Solution

The third proportional to 20,241.50 and 31,686.75 is: 49,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241.50 : 31,686.75 = 31,686.75 : x
  2. Step 2: Convert to fraction form
    20,241.50/31,686.75 = 31,686.75/x
  3. Step 3: Cross multiply
    20,241.50x = 31,686.75 × 31,686.75
  4. Step 4: Simplify right side
    20,241.50x = 1,004,050,125.56
  5. Step 5: Solve for x
    x = 1,004,050,125.56/20,241.50
  6. Step 6: Final answer
    x = 49,603.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.