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Finding the Third Proportional to 20,214.50 and 30,729.75

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Solution

The third proportional to 20,214.50 and 30,729.75 is: 46,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.50 : 30,729.75 = 30,729.75 : x
  2. Step 2: Convert to fraction form
    20,214.50/30,729.75 = 30,729.75/x
  3. Step 3: Cross multiply
    20,214.50x = 30,729.75 × 30,729.75
  4. Step 4: Simplify right side
    20,214.50x = 944,317,535.06
  5. Step 5: Solve for x
    x = 944,317,535.06/20,214.50
  6. Step 6: Final answer
    x = 46,714.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.