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Finding the Third Proportional to 7,640.26 and 16,112.04

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Solution

The third proportional to 7,640.26 and 16,112.04 is: 33,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.26 : 16,112.04 = 16,112.04 : x
  2. Step 2: Convert to fraction form
    7,640.26/16,112.04 = 16,112.04/x
  3. Step 3: Cross multiply
    7,640.26x = 16,112.04 × 16,112.04
  4. Step 4: Simplify right side
    7,640.26x = 259,597,802.75
  5. Step 5: Solve for x
    x = 259,597,802.75/7,640.26
  6. Step 6: Final answer
    x = 33,977.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.