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Finding the Third Proportional to 31,429.50 and 41,960.25

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Solution

The third proportional to 31,429.50 and 41,960.25 is: 56,019.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,429.50 : 41,960.25 = 41,960.25 : x
  2. Step 2: Convert to fraction form
    31,429.50/41,960.25 = 41,960.25/x
  3. Step 3: Cross multiply
    31,429.50x = 41,960.25 × 41,960.25
  4. Step 4: Simplify right side
    31,429.50x = 1,760,662,580.06
  5. Step 5: Solve for x
    x = 1,760,662,580.06/31,429.50
  6. Step 6: Final answer
    x = 56,019.43

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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.