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Finding the Third Proportional to 6,855.73 and 10,238.75

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Solution

The third proportional to 6,855.73 and 10,238.75 is: 15,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.73 : 10,238.75 = 10,238.75 : x
  2. Step 2: Convert to fraction form
    6,855.73/10,238.75 = 10,238.75/x
  3. Step 3: Cross multiply
    6,855.73x = 10,238.75 × 10,238.75
  4. Step 4: Simplify right side
    6,855.73x = 104,831,961.57
  5. Step 5: Solve for x
    x = 104,831,961.57/6,855.73
  6. Step 6: Final answer
    x = 15,291.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.