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Finding the Third Proportional to 31,690.25 and 47,436.65

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Solution

The third proportional to 31,690.25 and 47,436.65 is: 71,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.25 : 47,436.65 = 47,436.65 : x
  2. Step 2: Convert to fraction form
    31,690.25/47,436.65 = 47,436.65/x
  3. Step 3: Cross multiply
    31,690.25x = 47,436.65 × 47,436.65
  4. Step 4: Simplify right side
    31,690.25x = 2,250,236,078.23
  5. Step 5: Solve for x
    x = 2,250,236,078.23/31,690.25
  6. Step 6: Final answer
    x = 71,007.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.