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Finding the Third Proportional to 6,761.81 and 10,801.69

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Solution

The third proportional to 6,761.81 and 10,801.69 is: 17,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.81 : 10,801.69 = 10,801.69 : x
  2. Step 2: Convert to fraction form
    6,761.81/10,801.69 = 10,801.69/x
  3. Step 3: Cross multiply
    6,761.81x = 10,801.69 × 10,801.69
  4. Step 4: Simplify right side
    6,761.81x = 116,676,452.85
  5. Step 5: Solve for x
    x = 116,676,452.85/6,761.81
  6. Step 6: Final answer
    x = 17,255.20

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.