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Finding the Third Proportional to 31,286.25 and 47,703.94

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Solution

The third proportional to 31,286.25 and 47,703.94 is: 72,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.25 : 47,703.94 = 47,703.94 : x
  2. Step 2: Convert to fraction form
    31,286.25/47,703.94 = 47,703.94/x
  3. Step 3: Cross multiply
    31,286.25x = 47,703.94 × 47,703.94
  4. Step 4: Simplify right side
    31,286.25x = 2,275,665,653.00
  5. Step 5: Solve for x
    x = 2,275,665,653.00/31,286.25
  6. Step 6: Final answer
    x = 72,736.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.