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Finding the Third Proportional to 23,226.75 and 32,316.75

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Solution

The third proportional to 23,226.75 and 32,316.75 is: 44,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.75 : 32,316.75 = 32,316.75 : x
  2. Step 2: Convert to fraction form
    23,226.75/32,316.75 = 32,316.75/x
  3. Step 3: Cross multiply
    23,226.75x = 32,316.75 × 32,316.75
  4. Step 4: Simplify right side
    23,226.75x = 1,044,372,330.56
  5. Step 5: Solve for x
    x = 1,044,372,330.56/23,226.75
  6. Step 6: Final answer
    x = 44,964.20

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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.