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Finding the Third Proportional to 851.81 and 1,885.69

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Solution

The third proportional to 851.81 and 1,885.69 is: 4,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.81 : 1,885.69 = 1,885.69 : x
  2. Step 2: Convert to fraction form
    851.81/1,885.69 = 1,885.69/x
  3. Step 3: Cross multiply
    851.81x = 1,885.69 × 1,885.69
  4. Step 4: Simplify right side
    851.81x = 3,555,817.35
  5. Step 5: Solve for x
    x = 3,555,817.35/851.81
  6. Step 6: Final answer
    x = 4,174.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.