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Finding the Third Proportional to 31,943.25 and 49,247.75

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Solution

The third proportional to 31,943.25 and 49,247.75 is: 75,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943.25 : 49,247.75 = 49,247.75 : x
  2. Step 2: Convert to fraction form
    31,943.25/49,247.75 = 49,247.75/x
  3. Step 3: Cross multiply
    31,943.25x = 49,247.75 × 49,247.75
  4. Step 4: Simplify right side
    31,943.25x = 2,425,340,880.06
  5. Step 5: Solve for x
    x = 2,425,340,880.06/31,943.25
  6. Step 6: Final answer
    x = 75,926.55

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.