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Finding the Third Proportional to 20,619 and 32,890.50

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Solution

The third proportional to 20,619 and 32,890.50 is: 52,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,619 : 32,890.50 = 32,890.50 : x
  2. Step 2: Convert to fraction form
    20,619/32,890.50 = 32,890.50/x
  3. Step 3: Cross multiply
    20,619x = 32,890.50 × 32,890.50
  4. Step 4: Simplify right side
    20,619x = 1,081,784,990.25
  5. Step 5: Solve for x
    x = 1,081,784,990.25/20,619
  6. Step 6: Final answer
    x = 52,465.44

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.