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Finding the Third Proportional to 822.09 and 1,769.63

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Solution

The third proportional to 822.09 and 1,769.63 is: 3,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.09 : 1,769.63 = 1,769.63 : x
  2. Step 2: Convert to fraction form
    822.09/1,769.63 = 1,769.63/x
  3. Step 3: Cross multiply
    822.09x = 1,769.63 × 1,769.63
  4. Step 4: Simplify right side
    822.09x = 3,131,572.64
  5. Step 5: Solve for x
    x = 3,131,572.64/822.09
  6. Step 6: Final answer
    x = 3,809.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.