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Finding the Third Proportional to 3,984 and 5,413

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Solution

The third proportional to 3,984 and 5,413 is: 7,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 5,413 = 5,413 : x
  2. Step 2: Convert to fraction form
    3,984/5,413 = 5,413/x
  3. Step 3: Cross multiply
    3,984x = 5,413 × 5,413
  4. Step 4: Simplify right side
    3,984x = 29,300,569
  5. Step 5: Solve for x
    x = 29,300,569/3,984
  6. Step 6: Final answer
    x = 7,354.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.