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Finding the Third Proportional to 23,097.56 and 32,180.72

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Solution

The third proportional to 23,097.56 and 32,180.72 is: 44,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.56 : 32,180.72 = 32,180.72 : x
  2. Step 2: Convert to fraction form
    23,097.56/32,180.72 = 32,180.72/x
  3. Step 3: Cross multiply
    23,097.56x = 32,180.72 × 32,180.72
  4. Step 4: Simplify right side
    23,097.56x = 1,035,598,659.27
  5. Step 5: Solve for x
    x = 1,035,598,659.27/23,097.56
  6. Step 6: Final answer
    x = 44,835.84

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.