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Finding the Third Proportional to 31,043.25 and 43,436.25

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Solution

The third proportional to 31,043.25 and 43,436.25 is: 60,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.25 : 43,436.25 = 43,436.25 : x
  2. Step 2: Convert to fraction form
    31,043.25/43,436.25 = 43,436.25/x
  3. Step 3: Cross multiply
    31,043.25x = 43,436.25 × 43,436.25
  4. Step 4: Simplify right side
    31,043.25x = 1,886,707,814.06
  5. Step 5: Solve for x
    x = 1,886,707,814.06/31,043.25
  6. Step 6: Final answer
    x = 60,776.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.