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Finding the Third Proportional to 2,822.34 and 4,309.03

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Solution

The third proportional to 2,822.34 and 4,309.03 is: 6,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.34 : 4,309.03 = 4,309.03 : x
  2. Step 2: Convert to fraction form
    2,822.34/4,309.03 = 4,309.03/x
  3. Step 3: Cross multiply
    2,822.34x = 4,309.03 × 4,309.03
  4. Step 4: Simplify right side
    2,822.34x = 18,567,750.31
  5. Step 5: Solve for x
    x = 18,567,750.31/2,822.34
  6. Step 6: Final answer
    x = 6,578.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.