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Finding the Third Proportional to 4,927 and 7,373

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Solution

The third proportional to 4,927 and 7,373 is: 11,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927 : 7,373 = 7,373 : x
  2. Step 2: Convert to fraction form
    4,927/7,373 = 7,373/x
  3. Step 3: Cross multiply
    4,927x = 7,373 × 7,373
  4. Step 4: Simplify right side
    4,927x = 54,361,129
  5. Step 5: Solve for x
    x = 54,361,129/4,927
  6. Step 6: Final answer
    x = 11,033.31

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Why These Related Problems?

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