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Finding the Third Proportional to 4,137 and 5,928

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Solution

The third proportional to 4,137 and 5,928 is: 8,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137 : 5,928 = 5,928 : x
  2. Step 2: Convert to fraction form
    4,137/5,928 = 5,928/x
  3. Step 3: Cross multiply
    4,137x = 5,928 × 5,928
  4. Step 4: Simplify right side
    4,137x = 35,141,184
  5. Step 5: Solve for x
    x = 35,141,184/4,137
  6. Step 6: Final answer
    x = 8,494.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.