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Finding the Third Proportional to 4,032 and 5,552

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Solution

The third proportional to 4,032 and 5,552 is: 7,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,032 : 5,552 = 5,552 : x
  2. Step 2: Convert to fraction form
    4,032/5,552 = 5,552/x
  3. Step 3: Cross multiply
    4,032x = 5,552 × 5,552
  4. Step 4: Simplify right side
    4,032x = 30,824,704
  5. Step 5: Solve for x
    x = 30,824,704/4,032
  6. Step 6: Final answer
    x = 7,645.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.