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Finding the Third Proportional to 5,694 and 7,575

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Solution

The third proportional to 5,694 and 7,575 is: 10,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694 : 7,575 = 7,575 : x
  2. Step 2: Convert to fraction form
    5,694/7,575 = 7,575/x
  3. Step 3: Cross multiply
    5,694x = 7,575 × 7,575
  4. Step 4: Simplify right side
    5,694x = 57,380,625
  5. Step 5: Solve for x
    x = 57,380,625/5,694
  6. Step 6: Final answer
    x = 10,077.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.