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Finding the Third Proportional to 31,878.75 and 46,936.75

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Solution

The third proportional to 31,878.75 and 46,936.75 is: 69,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.75 : 46,936.75 = 46,936.75 : x
  2. Step 2: Convert to fraction form
    31,878.75/46,936.75 = 46,936.75/x
  3. Step 3: Cross multiply
    31,878.75x = 46,936.75 × 46,936.75
  4. Step 4: Simplify right side
    31,878.75x = 2,203,058,500.56
  5. Step 5: Solve for x
    x = 2,203,058,500.56/31,878.75
  6. Step 6: Final answer
    x = 69,107.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.