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Finding the Third Proportional to 20,240.72 and 32,027.06

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Solution

The third proportional to 20,240.72 and 32,027.06 is: 50,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,240.72 : 32,027.06 = 32,027.06 : x
  2. Step 2: Convert to fraction form
    20,240.72/32,027.06 = 32,027.06/x
  3. Step 3: Cross multiply
    20,240.72x = 32,027.06 × 32,027.06
  4. Step 4: Simplify right side
    20,240.72x = 1,025,732,732.38
  5. Step 5: Solve for x
    x = 1,025,732,732.38/20,240.72
  6. Step 6: Final answer
    x = 50,676.70

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.