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Finding the Third Proportional to 7,544 and 16,180

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Solution

The third proportional to 7,544 and 16,180 is: 34,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544 : 16,180 = 16,180 : x
  2. Step 2: Convert to fraction form
    7,544/16,180 = 16,180/x
  3. Step 3: Cross multiply
    7,544x = 16,180 × 16,180
  4. Step 4: Simplify right side
    7,544x = 261,792,400
  5. Step 5: Solve for x
    x = 261,792,400/7,544
  6. Step 6: Final answer
    x = 34,702.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.