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Finding the Third Proportional to 31,768.50 and 44,628

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Solution

The third proportional to 31,768.50 and 44,628 is: 62,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768.50 : 44,628 = 44,628 : x
  2. Step 2: Convert to fraction form
    31,768.50/44,628 = 44,628/x
  3. Step 3: Cross multiply
    31,768.50x = 44,628 × 44,628
  4. Step 4: Simplify right side
    31,768.50x = 1,991,658,384
  5. Step 5: Solve for x
    x = 1,991,658,384/31,768.50
  6. Step 6: Final answer
    x = 62,692.87

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Why These Related Problems?

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