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Finding the Third Proportional to 3,830.34 and 5,768.44

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Solution

The third proportional to 3,830.34 and 5,768.44 is: 8,687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.34 : 5,768.44 = 5,768.44 : x
  2. Step 2: Convert to fraction form
    3,830.34/5,768.44 = 5,768.44/x
  3. Step 3: Cross multiply
    3,830.34x = 5,768.44 × 5,768.44
  4. Step 4: Simplify right side
    3,830.34x = 33,274,871.19
  5. Step 5: Solve for x
    x = 33,274,871.19/3,830.34
  6. Step 6: Final answer
    x = 8,687.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.