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Finding the Third Proportional to 23,323.50 and 31,839.75

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Solution

The third proportional to 23,323.50 and 31,839.75 is: 43,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,323.50 : 31,839.75 = 31,839.75 : x
  2. Step 2: Convert to fraction form
    23,323.50/31,839.75 = 31,839.75/x
  3. Step 3: Cross multiply
    23,323.50x = 31,839.75 × 31,839.75
  4. Step 4: Simplify right side
    23,323.50x = 1,013,769,680.06
  5. Step 5: Solve for x
    x = 1,013,769,680.06/23,323.50
  6. Step 6: Final answer
    x = 43,465.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.