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Finding the Third Proportional to 23,402.75 and 31,757.75

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Solution

The third proportional to 23,402.75 and 31,757.75 is: 43,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.75 : 31,757.75 = 31,757.75 : x
  2. Step 2: Convert to fraction form
    23,402.75/31,757.75 = 31,757.75/x
  3. Step 3: Cross multiply
    23,402.75x = 31,757.75 × 31,757.75
  4. Step 4: Simplify right side
    23,402.75x = 1,008,554,685.06
  5. Step 5: Solve for x
    x = 1,008,554,685.06/23,402.75
  6. Step 6: Final answer
    x = 43,095.56

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.