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Finding the Third Proportional to 20,383.31 and 32,430.38

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Solution

The third proportional to 20,383.31 and 32,430.38 is: 51,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,383.31 : 32,430.38 = 32,430.38 : x
  2. Step 2: Convert to fraction form
    20,383.31/32,430.38 = 32,430.38/x
  3. Step 3: Cross multiply
    20,383.31x = 32,430.38 × 32,430.38
  4. Step 4: Simplify right side
    20,383.31x = 1,051,729,222.64
  5. Step 5: Solve for x
    x = 1,051,729,222.64/20,383.31
  6. Step 6: Final answer
    x = 51,597.56

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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.