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Finding the Third Proportional to 6,900.19 and 10,745.16

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Solution

The third proportional to 6,900.19 and 10,745.16 is: 16,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.19 : 10,745.16 = 10,745.16 : x
  2. Step 2: Convert to fraction form
    6,900.19/10,745.16 = 10,745.16/x
  3. Step 3: Cross multiply
    6,900.19x = 10,745.16 × 10,745.16
  4. Step 4: Simplify right side
    6,900.19x = 115,458,382.84
  5. Step 5: Solve for x
    x = 115,458,382.84/6,900.19
  6. Step 6: Final answer
    x = 16,732.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.