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Finding the Third Proportional to 20,410.50 and 31,223.75

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Solution

The third proportional to 20,410.50 and 31,223.75 is: 47,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410.50 : 31,223.75 = 31,223.75 : x
  2. Step 2: Convert to fraction form
    20,410.50/31,223.75 = 31,223.75/x
  3. Step 3: Cross multiply
    20,410.50x = 31,223.75 × 31,223.75
  4. Step 4: Simplify right side
    20,410.50x = 974,922,564.06
  5. Step 5: Solve for x
    x = 974,922,564.06/20,410.50
  6. Step 6: Final answer
    x = 47,765.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.