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Finding the Third Proportional to 3,126.94 and 7,068.09

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Solution

The third proportional to 3,126.94 and 7,068.09 is: 15,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.94 : 7,068.09 = 7,068.09 : x
  2. Step 2: Convert to fraction form
    3,126.94/7,068.09 = 7,068.09/x
  3. Step 3: Cross multiply
    3,126.94x = 7,068.09 × 7,068.09
  4. Step 4: Simplify right side
    3,126.94x = 49,957,949.26
  5. Step 5: Solve for x
    x = 49,957,949.26/3,126.94
  6. Step 6: Final answer
    x = 15,976.64

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.