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Finding the Third Proportional to 3,835.79 and 6,138.12

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Solution

The third proportional to 3,835.79 and 6,138.12 is: 9,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.79 : 6,138.12 = 6,138.12 : x
  2. Step 2: Convert to fraction form
    3,835.79/6,138.12 = 6,138.12/x
  3. Step 3: Cross multiply
    3,835.79x = 6,138.12 × 6,138.12
  4. Step 4: Simplify right side
    3,835.79x = 37,676,554.54
  5. Step 5: Solve for x
    x = 37,676,554.54/3,835.79
  6. Step 6: Final answer
    x = 9,822.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.