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Finding the Third Proportional to 7,115.44 and 10,696.13

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Solution

The third proportional to 7,115.44 and 10,696.13 is: 16,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.44 : 10,696.13 = 10,696.13 : x
  2. Step 2: Convert to fraction form
    7,115.44/10,696.13 = 10,696.13/x
  3. Step 3: Cross multiply
    7,115.44x = 10,696.13 × 10,696.13
  4. Step 4: Simplify right side
    7,115.44x = 114,407,090.02
  5. Step 5: Solve for x
    x = 114,407,090.02/7,115.44
  6. Step 6: Final answer
    x = 16,078.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.