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Finding the Third Proportional to 20,973 and 32,189.25

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Solution

The third proportional to 20,973 and 32,189.25 is: 49,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973 : 32,189.25 = 32,189.25 : x
  2. Step 2: Convert to fraction form
    20,973/32,189.25 = 32,189.25/x
  3. Step 3: Cross multiply
    20,973x = 32,189.25 × 32,189.25
  4. Step 4: Simplify right side
    20,973x = 1,036,147,815.56
  5. Step 5: Solve for x
    x = 1,036,147,815.56/20,973
  6. Step 6: Final answer
    x = 49,403.89

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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.