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Finding the Third Proportional to 20,286.70 and 32,303.81

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Solution

The third proportional to 20,286.70 and 32,303.81 is: 51,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.70 : 32,303.81 = 32,303.81 : x
  2. Step 2: Convert to fraction form
    20,286.70/32,303.81 = 32,303.81/x
  3. Step 3: Cross multiply
    20,286.70x = 32,303.81 × 32,303.81
  4. Step 4: Simplify right side
    20,286.70x = 1,043,536,302.04
  5. Step 5: Solve for x
    x = 1,043,536,302.04/20,286.70
  6. Step 6: Final answer
    x = 51,439.42

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.