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Finding the Third Proportional to 1,769.25 and 3,842.63

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Solution

The third proportional to 1,769.25 and 3,842.63 is: 8,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.25 : 3,842.63 = 3,842.63 : x
  2. Step 2: Convert to fraction form
    1,769.25/3,842.63 = 3,842.63/x
  3. Step 3: Cross multiply
    1,769.25x = 3,842.63 × 3,842.63
  4. Step 4: Simplify right side
    1,769.25x = 14,765,766.89
  5. Step 5: Solve for x
    x = 14,765,766.89/1,769.25
  6. Step 6: Final answer
    x = 8,345.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.