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Finding the Third Proportional to 7,180 and 13,334

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Solution

The third proportional to 7,180 and 13,334 is: 24,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180 : 13,334 = 13,334 : x
  2. Step 2: Convert to fraction form
    7,180/13,334 = 13,334/x
  3. Step 3: Cross multiply
    7,180x = 13,334 × 13,334
  4. Step 4: Simplify right side
    7,180x = 177,795,556
  5. Step 5: Solve for x
    x = 177,795,556/7,180
  6. Step 6: Final answer
    x = 24,762.61

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.