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Finding the Third Proportional to 837.56 and 1,769.06

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Solution

The third proportional to 837.56 and 1,769.06 is: 3,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.56 : 1,769.06 = 1,769.06 : x
  2. Step 2: Convert to fraction form
    837.56/1,769.06 = 1,769.06/x
  3. Step 3: Cross multiply
    837.56x = 1,769.06 × 1,769.06
  4. Step 4: Simplify right side
    837.56x = 3,129,582.13
  5. Step 5: Solve for x
    x = 3,129,582.13/837.56
  6. Step 6: Final answer
    x = 3,736.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.