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Finding the Third Proportional to 5,942 and 9,451

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Solution

The third proportional to 5,942 and 9,451 is: 15,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942 : 9,451 = 9,451 : x
  2. Step 2: Convert to fraction form
    5,942/9,451 = 9,451/x
  3. Step 3: Cross multiply
    5,942x = 9,451 × 9,451
  4. Step 4: Simplify right side
    5,942x = 89,321,401
  5. Step 5: Solve for x
    x = 89,321,401/5,942
  6. Step 6: Final answer
    x = 15,032.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.