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Finding the Third Proportional to 20,273.81 and 32,284.31

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Solution

The third proportional to 20,273.81 and 32,284.31 is: 51,410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,273.81 : 32,284.31 = 32,284.31 : x
  2. Step 2: Convert to fraction form
    20,273.81/32,284.31 = 32,284.31/x
  3. Step 3: Cross multiply
    20,273.81x = 32,284.31 × 32,284.31
  4. Step 4: Simplify right side
    20,273.81x = 1,042,276,833.60
  5. Step 5: Solve for x
    x = 1,042,276,833.60/20,273.81
  6. Step 6: Final answer
    x = 51,410.01

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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.