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Finding the Third Proportional to 23,439.75 and 31,311.75

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Solution

The third proportional to 23,439.75 and 31,311.75 is: 41,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,439.75 : 31,311.75 = 31,311.75 : x
  2. Step 2: Convert to fraction form
    23,439.75/31,311.75 = 31,311.75/x
  3. Step 3: Cross multiply
    23,439.75x = 31,311.75 × 31,311.75
  4. Step 4: Simplify right side
    23,439.75x = 980,425,688.06
  5. Step 5: Solve for x
    x = 980,425,688.06/23,439.75
  6. Step 6: Final answer
    x = 41,827.48

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.