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Finding the Third Proportional to 4,392 and 5,032

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Solution

The third proportional to 4,392 and 5,032 is: 5,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392 : 5,032 = 5,032 : x
  2. Step 2: Convert to fraction form
    4,392/5,032 = 5,032/x
  3. Step 3: Cross multiply
    4,392x = 5,032 × 5,032
  4. Step 4: Simplify right side
    4,392x = 25,321,024
  5. Step 5: Solve for x
    x = 25,321,024/4,392
  6. Step 6: Final answer
    x = 5,765.26

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.