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Finding the Third Proportional to 6,891.19 and 10,650.94

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Solution

The third proportional to 6,891.19 and 10,650.94 is: 16,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.19 : 10,650.94 = 10,650.94 : x
  2. Step 2: Convert to fraction form
    6,891.19/10,650.94 = 10,650.94/x
  3. Step 3: Cross multiply
    6,891.19x = 10,650.94 × 10,650.94
  4. Step 4: Simplify right side
    6,891.19x = 113,442,469.63
  5. Step 5: Solve for x
    x = 113,442,469.63/6,891.19
  6. Step 6: Final answer
    x = 16,461.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.