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Finding the Third Proportional to 5,774 and 13,334

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Solution

The third proportional to 5,774 and 13,334 is: 30,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774 : 13,334 = 13,334 : x
  2. Step 2: Convert to fraction form
    5,774/13,334 = 13,334/x
  3. Step 3: Cross multiply
    5,774x = 13,334 × 13,334
  4. Step 4: Simplify right side
    5,774x = 177,795,556
  5. Step 5: Solve for x
    x = 177,795,556/5,774
  6. Step 6: Final answer
    x = 30,792.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.