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Finding the Third Proportional to 5,394 and 11,575

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Solution

The third proportional to 5,394 and 11,575 is: 24,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394 : 11,575 = 11,575 : x
  2. Step 2: Convert to fraction form
    5,394/11,575 = 11,575/x
  3. Step 3: Cross multiply
    5,394x = 11,575 × 11,575
  4. Step 4: Simplify right side
    5,394x = 133,980,625
  5. Step 5: Solve for x
    x = 133,980,625/5,394
  6. Step 6: Final answer
    x = 24,838.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.